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211 y Fx(,)27 b Fq(T)1628 226 y Fo(b)1662 211 y Fq(\021)j
Fx(is)25 b(in)m(v)-5 b(arian)m(t)26 b(under)f(a)i(c)m(hange)g(of)g
(orien)m(tation)f(of)h Fq(b)p Fx(,)g(while)90 324 y(for)j
Fq(b)25 b Ft(2)g Fq(@)5 b Fx(\003)495 291 y FD(\003)p
Fo(;)12 b(out)697 324 y Fx(and)30 b Fq(b)25 b Ft(2)g
Fq(@)5 b Fx(\003)1140 291 y FD(\003)p Fo(;)12 b(in)1309
324 y Fx(it)29 b(is)h(not.)231 437 y(The)h Fv(Kawasaki)36
b(dynamics)k Fx(is)31 b(de\014ned)f(to)j(b)s(e)e(the)g(con)m(tin)m
(uous-time)h(Mark)m(o)m(v)h(c)m(hain)e(\()p Fq(\021)3357
451 y Fo(t)3388 437 y Fx(\))3423 451 y Fo(t)p FD(\025)p
Fr(0)3574 437 y Fx(on)h Ft(X)90 550 y Fx(with)d(transition)g(rates)725
754 y Fq(c)764 769 y Fo(\014)812 754 y Fx(\()p Fq(\021)s(;)15
b(\021)983 717 y FD(0)1008 754 y Fx(\))25 b(=)g(1)1209
773 y FD(f)p Fo(\021)r FD($)p Fo(\021)1389 754 y Fz(0)1413
773 y FD(g)1483 754 y Fq(e)1525 717 y FD(\000)p Fo(\014)s
FD(f)p Fr([)p Fo(H)5 b Fr(\()p Fo(\021)1805 693 y Fz(0)1829
717 y Fr(\))p FD(\000)p Fo(H)g Fr(\()p Fo(\021)r Fr(\)])p
FD(_)p Fr(0)p FD(g)2208 754 y Fq(;)198 b Ft(8)15 b Fq(\021)s(;)g(\021)
29 b Ft(2)c(X)13 b Fq(;)30 b(\021)f Ft(6)p Fx(=)c Fq(\021)3096
717 y FD(0)3120 754 y Fq(:)377 b Fx(\(1.2.6\))90 959
y(This)33 b(is)h(a)h(standard)f(Metrop)s(olis)g(dynamics)g(with)f(an)i
(op)s(en)f(b)s(oundary:)48 b(along)35 b(eac)m(h)h(b)s(ond)d(touc)m
(hing)90 1072 y Fq(@)143 1039 y FD(\000)202 1072 y Fx(\003)41
b(from)f(the)g(outside,)j(particles)c(are)i(created)g(with)e(rate)i
Fq(\032)2374 1087 y Fo(\014)2462 1072 y Fx(and)f(are)g(annihilated)e
(with)h(rate)i(1,)90 1184 y(re\015ecting)35 b(the)h(activ)-5
b(ation)36 b(energy)-8 b(,)38 b(while)c(inside)f(\003)1962
1151 y FD(\000)2057 1184 y Fx(particles)h(are)j(conserv)m(ed)f(and)f
(jump)f(at)i(a)g(rate)90 1297 y(that)27 b(dep)s(ends)e(on)h(the)h(c)m
(hange)h(in)d(energy)i(asso)s(ciated)g(with)e(the)i(jump,)f
(re\015ecting)h(the)f(binding)e(energy)-8 b(.)90 1410
y(Note)39 b(that)g(a)g(mo)m(v)m(e)g(of)f(particles)f(inside)f
Fq(@)1650 1377 y FD(\000)1709 1410 y Fx(\003)j(do)s(es)e(not)i(in)m(v)m
(olv)m(e)f(a)g(c)m(hange)i(in)c(energy)j(b)s(ecause)f(the)90
1523 y(in)m(teraction)30 b(acts)i(only)d(inside)f(\003)1255
1490 y FD(\000)1345 1523 y Fx(\(see)j(\(1.1.3\)\).)231
1636 y(The)d(measure)h Fq(\026)824 1651 y Fo(\014)900
1636 y Fx(de\014ned)e(in)g(\(1.1.5\))32 b(is)27 b(the)i
Fv(r)-5 b(eversible)32 b(e)-5 b(quilibrium)35 b Fx(of)29
b(the)g(dynamics)e(with)h(tran-)90 1749 y(sition)h(rates)i
Fq(c)600 1764 y Fo(\014)678 1749 y Fx(de\014ned)e(in)g(\(1.2.6\):)876
1953 y Fq(\026)931 1968 y Fo(\014)978 1953 y Fx(\()p
Fq(\021)s Fx(\))p Fq(c)1135 1968 y Fo(\014)1184 1953
y Fx(\()p Fq(\021)s(;)15 b(\021)1355 1916 y FD(0)1379
1953 y Fx(\))26 b(=)f Fq(\026)1591 1968 y Fo(\014)1638
1953 y Fx(\()p Fq(\021)1721 1916 y FD(0)1745 1953 y Fx(\))p
Fq(c)1819 1968 y Fo(\014)1867 1953 y Fx(\()p Fq(\021)1950
1916 y FD(0)1974 1953 y Fq(;)15 b(\021)s Fx(\))183 b
Ft(8)15 b Fq(\021)s(;)g(\021)2482 1916 y FD(0)2531 1953
y Ft(2)25 b(X)13 b Fq(;)31 b(\021)d Ft(6)p Fx(=)d Fq(\021)s(:)529
b Fx(\(1.2.7\))90 2197 y Fu(1.3)112 b(Rough)38 b(description)e(of)h(n)m
(ucleation)g(in)g(t)m(w)m(o)f(dimensions)90 2368 y Fm(1.3.1)105
b(Metastable)35 b(regime)f(and)h(critical)g(droplet)g(size)90
2540 y Fx(In)30 b(t)m(w)m(o)h(dimensions,)d(w)m(e)j(will)d(b)s(e)i(in)m
(terested)g(in)f(the)i Fv(metastable)j(r)-5 b(e)g(gime)1428
2744 y Fx(\001)25 b Ft(2)g Fx(\()p Fq(U;)15 b Fx(2)p
Fq(U)10 b Fx(\))p Fq(;)199 b(\014)30 b Ft(!)25 b(1)p
Fq(:)1081 b Fx(\(1.3.1\))90 2948 y(In)28 b(this)f(regime,)j(droplets)d
(tend)h(to)i(gro)m(w)f(slo)m(wly:)39 b(single)27 b(particles)h(attac)m
(hed)i(to)g(one)e(side)g(of)h(a)g(droplet)90 3061 y(t)m(ypically)i
(detac)m(h)h(b)s(efore)g(the)g(arriv)-5 b(al)30 b(of)i(a)g(next)g
(particle)f(\(b)s(ecause)h Fq(e)2607 3028 y Fo(U)7 b(\014)2737
3061 y Ft(\034)27 b Fq(e)2897 3028 y Fr(\001)p Fo(\014)3003
3061 y Fx(\),)33 b(while)d(bars)h(of)h(t)m(w)m(o)90 3174
y(or)e(more)h(particles)e(t)m(ypically)g(do)i(not)f(detac)m(h)i(\(b)s
(ecause)e Fq(e)2156 3141 y Fr(\001)p Fo(\014)2288 3174
y Ft(\034)25 b Fq(e)2446 3141 y Fr(2)p Fo(U)7 b(\014)2584
3174 y Fx(\).)231 3287 y(As)29 b(w)m(as)h(p)s(oin)m(ted)e(out)i(in)e
(den)h(Hollander,)f(Olivieri,)f(and)h(Scopp)s(ola)h([9],)h(Section)f
(1.2.3,)j(the)e(energy)90 3400 y Fq(E)5 b Fx(\()p Fq(`)p
Fx(\))31 b(of)g(an)f Fq(`)20 b Ft(\002)g Fq(`)30 b Fx(droplet)g(in)f
(\003)1231 3367 y FD(\000)1320 3400 y Fx(equals)h(\(recall)g(\(1.1.3\))
j(and)d(see)h(Fig.)f(1\))948 3604 y Fq(E)5 b Fx(\()p
Fq(`)p Fx(\))27 b(=)e Ft(\000)p Fq(U)10 b Fx([2)p Fq(`)p
Fx(\()p Fq(`)20 b Ft(\000)g Fx(1\)])h(+)f(\001)p Fq(`)2017
3567 y Fr(2)2082 3604 y Fx(=)25 b(2)p Fq(U)10 b(`)20
b Ft(\000)g Fx(\(2)p Fq(U)31 b Ft(\000)20 b Fx(\001\))p
Fq(`)2857 3567 y Fr(2)2896 3604 y Fq(;)601 b Fx(\(1.3.2\))90
3808 y(whic)m(h)29 b(is)h(maximal)f(at)i Fq(`)25 b Fx(=)g
Fq(U)5 b(=)p Fx(\(2)p Fq(U)31 b Ft(\000)20 b Fx(\001\):)p
1530 5022 945 4 v 1529 5021 4 827 v 1521 5024 a Fr(.)1521
5022 y(.)1522 5019 y(.)1522 5016 y(.)1523 5014 y(.)1524
5011 y(.)1524 5008 y(.)1525 5006 y(.)1525 5003 y(.)1526
5000 y(.)1527 4998 y(.)1527 4995 y(.)1528 4993 y(.)1528
4990 y(.)1529 4987 y(.)1530 4985 y(.)1530 4982 y(.)1531
4979 y(.)1531 4977 y(.)1532 4974 y(.)1533 4971 y(.)1533
4969 y(.)1534 4966 y(.)1534 4963 y(.)1535 4961 y(.)1536
4958 y(.)1536 4955 y(.)1537 4953 y(.)1537 4950 y(.)1538
4948 y(.)1539 4945 y(.)1539 4942 y(.)1540 4940 y(.)1540
4937 y(.)1541 4934 y(.)1542 4932 y(.)1542 4929 y(.)1543
4926 y(.)1543 4924 y(.)1544 4922 y(.)1545 4919 y(.)1545
4916 y(.)1546 4914 y(.)1547 4911 y(.)1547 4909 y(.)1548
4907 y(.)1549 4904 y(.)1549 4902 y(.)1550 4899 y(.)1551
4897 y(.)1551 4895 y(.)1552 4892 y(.)1553 4890 y(.)1553
4887 y(.)1554 4885 y(.)1555 4883 y(.)1555 4881 y(.)1556
4878 y(.)1557 4876 y(.)1557 4873 y(.)1558 4871 y(.)1559
4869 y(.)1559 4866 y(.)1560 4864 y(.)1560 4861 y(.)1561
4859 y(.)1562 4857 y(.)1562 4854 y(.)1563 4852 y(.)1564
4849 y(.)1564 4847 y(.)1565 4845 y(.)1566 4842 y(.)1566
4840 y(.)1567 4837 y(.)1568 4835 y(.)1568 4833 y(.)1569
4831 y(.)1570 4829 y(.)1571 4826 y(.)1571 4824 y(.)1572
4822 y(.)1573 4820 y(.)1573 4818 y(.)1574 4816 y(.)1575
4813 y(.)1575 4811 y(.)1576 4809 y(.)1577 4807 y(.)1578
4805 y(.)1578 4803 y(.)1579 4800 y(.)1580 4798 y(.)1580
4796 y(.)1581 4794 y(.)1582 4792 y(.)1583 4790 y(.)1583
4787 y(.)1584 4785 y(.)1585 4783 y(.)1585 4781 y(.)1586
4779 y(.)1587 4777 y(.)1587 4774 y(.)1588 4772 y(.)1589
4770 y(.)1590 4768 y(.)1590 4766 y(.)1591 4764 y(.)1592
4761 y(.)1592 4759 y(.)1593 4757 y(.)1594 4755 y(.)1595
4753 y(.)1595 4751 y(.)1596 4749 y(.)1597 4747 y(.)1598
4745 y(.)1598 4744 y(.)1599 4742 y(.)1600 4740 y(.)1601
4738 y(.)1601 4736 y(.)1602 4734 y(.)1603 4732 y(.)1604
4730 y(.)1605 4728 y(.)1605 4726 y(.)1606 4724 y(.)1607
4722 y(.)1608 4720 y(.)1608 4718 y(.)1609 4717 y(.)1610
4715 y(.)1611 4713 y(.)1611 4711 y(.)1612 4709 y(.)1613
4707 y(.)1614 4705 y(.)1614 4703 y(.)1615 4701 y(.)1616
4699 y(.)1617 4697 y(.)1617 4695 y(.)1618 4693 y(.)1619
4691 y(.)1620 4690 y(.)1620 4688 y(.)1621 4686 y(.)1622
4684 y(.)1623 4682 y(.)1624 4681 y(.)1624 4679 y(.)1625
4677 y(.)1626 4676 y(.)1627 4674 y(.)1628 4672 y(.)1628
4670 y(.)1629 4669 y(.)1630 4667 y(.)1631 4665 y(.)1632
4664 y(.)1633 4662 y(.)1633 4660 y(.)1634 4659 y(.)1635
4657 y(.)1636 4655 y(.)1637 4654 y(.)1637 4652 y(.)1638
4650 y(.)1639 4649 y(.)1640 4647 y(.)1641 4645 y(.)1641
4643 y(.)1642 4642 y(.)1643 4640 y(.)1644 4638 y(.)1645
4637 y(.)1645 4635 y(.)1646 4633 y(.)1647 4632 y(.)1648
4630 y(.)1649 4628 y(.)1650 4627 y(.)1650 4625 y(.)1651
4623 y(.)1652 4622 y(.)1653 4620 y(.)1654 4619 y(.)1655
4617 y(.)1655 4616 y(.)1656 4614 y(.)1657 4613 y(.)1658
4612 y(.)1659 4610 y(.)1660 4609 y(.)1661 4607 y(.)1661
4606 y(.)1662 4604 y(.)1663 4603 y(.)1664 4601 y(.)1665
4600 y(.)1666 4599 y(.)1667 4597 y(.)1668 4596 y(.)1668
4594 y(.)1669 4593 y(.)1670 4591 y(.)1671 4590 y(.)1672
4588 y(.)1673 4587 y(.)1674 4585 y(.)1674 4584 y(.)1675
4583 y(.)1676 4581 y(.)1677 4580 y(.)1678 4578 y(.)1679
4577 y(.)1680 4575 y(.)1680 4574 y(.)1681 4572 y(.)1682
4571 y(.)1683 4569 y(.)1684 4568 y(.)1685 4567 y(.)1686
4566 y(.)1687 4565 y(.)1688 4563 y(.)1689 4562 y(.)1689
4561 y(.)1690 4560 y(.)1691 4559 y(.)1692 4557 y(.)1693
4556 y(.)1694 4555 y(.)1695 4554 y(.)1696 4553 y(.)1697
4551 y(.)1698 4550 y(.)1699 4549 y(.)1699 4548 y(.)1700
4546 y(.)1701 4545 y(.)1702 4544 y(.)1703 4543 y(.)1704
4542 y(.)1705 4540 y(.)1706 4539 y(.)1707 4538 y(.)1708
4537 y(.)1709 4536 y(.)1710 4534 y(.)1710 4533 y(.)1711
4532 y(.)1712 4531 y(.)1713 4530 y(.)1714 4528 y(.)1715
4527 y(.)1716 4526 y(.)1717 4525 y(.)1718 4524 y(.)1719
4523 y(.)1720 4522 y(.)1721 4521 y(.)1722 4520 y(.)1723
4519 y(.)1724 4518 y(.)1725 4517 y(.)1726 4516 y(.)1727
4515 y(.)1727 4514 y(.)1728 4513 y(.)1729 4512 y(.)1730
4511 y(.)1731 4510 y(.)1732 4509 y(.)1733 4508 y(.)1734
4507 y(.)1735 4506 y(.)1736 4505 y(.)1737 4504 y(.)1738
4503 y(.)1739 4502 y(.)1740 4501 y(.)1741 4500 y(.)1742
4499 y(.)1743 4498 y(.)1744 4497 y(.)1745 4496 y(.)1746
4495 y(.)-19 b(.)1748 4494 y(.)1749 4493 y(.)1750 4492
y(.)1751 4491 y(.)1752 4490 y(.)1753 4489 y(.)1754 4488
y(.)1755 4487 y(.)1756 4486 y(.)g(.)1758 4485 y(.)1759
4484 y(.)g(.)1761 4483 y(.)1762 4482 y(.)1763 4481 y(.)g(.)1765
4480 y(.)1766 4479 y(.)1767 4478 y(.)g(.)1769 4477 y(.)1770
4476 y(.)1771 4475 y(.)g(.)1773 4474 y(.)1774 4473 y(.)g(.)1776
4472 y(.)1777 4471 y(.)1778 4470 y(.)g(.)1780 4469 y(.)1781
4468 y(.)1782 4467 y(.)g(.)1784 4466 y(.)1785 4465 y(.)1786
4464 y(.)g(.)1788 4463 y(.)1789 4462 y(.)g(.)1791 4461
y(.)g(.)1793 4460 y(.)h(.)1796 4459 y(.)f(.)1798 4458
y(.)g(.)1800 4457 y(.)g(.)1802 4456 y(.)g(.)1804 4455
y(.)g(.)1806 4454 y(.)g(.)1808 4453 y(.)g(.)1811 4452
y(.)g(.)1813 4451 y(.)g(.)1815 4450 y(.)g(.)1817 4449
y(.)g(.)1819 4448 y(.)g(.)1821 4447 y(.)g(.)1823 4446
y(.)g(.)1826 4445 y(.)g(.)1828 4444 y(.)g(.)1830 4443
y(.)g(.)g(.)g(.)1834 4442 y(.)g(.)h(.)1838 4441 y(.)f(.)g(.)g(.)1842
4440 y(.)g(.)g(.)h(.)1847 4439 y(.)f(.)g(.)g(.)1851 4438
y(.)g(.)g(.)g(.)1856 4437 y(.)g(.)g(.)g(.)1860 4436 y(.)g(.)g(.)g(.)
1865 4435 y(.)g(.)g(.)g(.)1869 4434 y(.)g(.)g(.)g(.)h(.)f(.)f(.)h(.)g
(.)g(.)1879 4435 y(.)f(.)h(.)g(.)g(.)1883 4436 y(.)g(.)g(.)g(.)g(.)g(.)
1889 4437 y(.)g(.)g(.)f(.)h(.)1893 4438 y(.)g(.)g(.)g(.)g(.)1898
4439 y(.)g(.)g(.)g(.)g(.)1902 4440 y(.)g(.)g(.)g(.)g(.)1907
4441 y(.)g(.)g(.)g(.)g(.)1912 4442 y(.)g(.)g(.)f(.)1915
4443 y(.)h(.)1917 4444 y(.)g(.)g(.)1920 4445 y(.)g(.)1922
4446 y(.)g(.)g(.)1925 4447 y(.)g(.)1926 4448 y(.)g(.)1928
4449 y(.)g(.)g(.)1931 4450 y(.)g(.)1933 4451 y(.)g(.)g(.)1936
4452 y(.)g(.)1937 4453 y(.)g(.)g(.)1940 4454 y(.)g(.)1942
4455 y(.)g(.)g(.)1945 4456 y(.)g(.)1947 4457 y(.)g(.)g(.)1949
4458 y(.)g(.)1951 4459 y(.)g(.)1953 4460 y(.)g(.)1955
4461 y(.)1956 4462 y(.)g(.)1958 4463 y(.)g(.)1960 4464
y(.)1961 4465 y(.)f(.)1962 4466 y(.)1963 4467 y(.)h(.)1965
4468 y(.)g(.)1967 4469 y(.)1968 4470 y(.)g(.)1970 4471
y(.)g(.)1972 4472 y(.)1972 4473 y(.)g(.)1974 4474 y(.)1975
4475 y(.)g(.)1977 4476 y(.)g(.)1979 4477 y(.)1980 4478
y(.)g(.)1982 4479 y(.)1983 4480 y(.)g(.)1984 4481 y(.)g(.)1986
4482 y(.)1987 4483 y(.)g(.)1989 4484 y(.)g(.)1991 4485
y(.)1992 4486 y(.)1993 4487 y(.)1994 4488 y(.)g(.)1996
4489 y(.)1996 4490 y(.)1997 4491 y(.)1998 4492 y(.)1999
4493 y(.)g(.)2001 4494 y(.)2002 4495 y(.)2003 4496 y(.)2004
4497 y(.)2005 4498 y(.)g(.)2007 4499 y(.)2007 4500 y(.)2008
4501 y(.)2009 4502 y(.)2010 4503 y(.)g(.)2012 4504 y(.)2013
4505 y(.)2014 4506 y(.)2015 4507 y(.)g(.)2017 4508 y(.)2018
4509 y(.)2019 4510 y(.)2019 4511 y(.)2020 4512 y(.)g(.)2022
4513 y(.)2023 4514 y(.)2024 4515 y(.)2025 4516 y(.)2026
4517 y(.)g(.)2028 4518 y(.)2029 4519 y(.)2030 4520 y(.)2030
4521 y(.)2031 4522 y(.)2032 4523 y(.)2033 4524 y(.)2034
4525 y(.)2035 4526 y(.)2036 4527 y(.)2037 4528 y(.)2038
4529 y(.)2039 4530 y(.)2040 4531 y(.)2041 4532 y(.)2042
4533 y(.)2042 4535 y(.)2043 4536 y(.)2044 4537 y(.)2045
4538 y(.)2046 4539 y(.)2047 4540 y(.)2048 4541 y(.)2049
4542 y(.)2050 4543 y(.)2051 4544 y(.)2052 4545 y(.)2053
4546 y(.)2054 4547 y(.)2054 4548 y(.)2055 4549 y(.)2056
4550 y(.)2057 4551 y(.)2058 4552 y(.)2059 4553 y(.)2060
4554 y(.)2061 4555 y(.)2062 4556 y(.)2063 4557 y(.)2064
4558 y(.)2065 4559 y(.)2065 4561 y(.)2066 4562 y(.)2067
4563 y(.)2068 4564 y(.)2069 4565 y(.)2070 4566 y(.)2071
4567 y(.)2072 4569 y(.)2073 4570 y(.)2074 4571 y(.)2075
4572 y(.)2076 4574 y(.)2077 4575 y(.)2077 4576 y(.)2078
4577 y(.)2079 4579 y(.)2080 4580 y(.)2081 4581 y(.)2082
4582 y(.)2083 4584 y(.)2084 4585 y(.)2085 4586 y(.)2086
4587 y(.)2087 4589 y(.)2088 4590 y(.)2089 4591 y(.)2089
4592 y(.)2090 4594 y(.)2091 4595 y(.)2092 4596 y(.)2093
4597 y(.)2094 4599 y(.)2095 4600 y(.)2096 4601 y(.)2097
4602 y(.)2098 4604 y(.)2099 4605 y(.)2100 4606 y(.)2100
4607 y(.)2101 4609 y(.)2102 4610 y(.)2103 4611 y(.)2104
4612 y(.)2105 4614 y(.)2106 4615 y(.)2107 4616 y(.)2108
4618 y(.)2109 4619 y(.)2110 4621 y(.)2111 4622 y(.)2112
4624 y(.)2112 4625 y(.)2113 4626 y(.)2114 4628 y(.)2115
4629 y(.)2116 4631 y(.)2117 4632 y(.)2118 4634 y(.)2119
4635 y(.)2120 4637 y(.)2121 4638 y(.)2122 4640 y(.)2123
4641 y(.)2124 4643 y(.)2124 4644 y(.)2125 4645 y(.)2126
4647 y(.)2127 4648 y(.)2128 4650 y(.)2129 4651 y(.)2130
4653 y(.)2131 4654 y(.)2132 4656 y(.)2133 4657 y(.)2134
4659 y(.)2135 4660 y(.)2135 4662 y(.)2136 4663 y(.)2137
4664 y(.)2138 4666 y(.)2139 4667 y(.)2140 4669 y(.)2141
4670 y(.)2142 4672 y(.)2143 4673 y(.)2144 4675 y(.)2145
4676 y(.)2146 4678 y(.)2147 4679 y(.)2147 4681 y(.)2148
4683 y(.)2149 4684 y(.)2150 4686 y(.)2151 4688 y(.)2152
4689 y(.)2153 4691 y(.)2154 4693 y(.)2155 4694 y(.)2156
4696 y(.)2157 4698 y(.)2158 4699 y(.)2158 4701 y(.)2159
4703 y(.)2160 4704 y(.)2161 4706 y(.)2162 4708 y(.)2163
4709 y(.)2164 4711 y(.)2165 4713 y(.)2166 4714 y(.)2167
4716 y(.)2168 4718 y(.)2169 4720 y(.)2170 4721 y(.)2170
4723 y(.)2171 4725 y(.)2172 4726 y(.)2173 4728 y(.)2174
4730 y(.)2175 4731 y(.)2176 4733 y(.)2177 4735 y(.)2178
4736 y(.)2179 4738 y(.)2180 4740 y(.)2181 4741 y(.)2182
4743 y(.)2182 4745 y(.)2183 4746 y(.)2184 4748 y(.)2185
4750 y(.)2186 4752 y(.)2187 4754 y(.)2188 4756 y(.)2189
4757 y(.)2190 4759 y(.)2191 4761 y(.)2192 4763 y(.)2193
4765 y(.)2193 4767 y(.)2194 4769 y(.)2195 4771 y(.)2196
4772 y(.)2197 4774 y(.)2198 4776 y(.)2199 4778 y(.)2200
4780 y(.)2201 4782 y(.)2202 4784 y(.)2203 4786 y(.)2204
4788 y(.)2205 4789 y(.)2205 4791 y(.)2206 4793 y(.)2207
4795 y(.)2208 4797 y(.)2209 4799 y(.)2210 4801 y(.)2211
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%%Page: 5 5
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%%Page: 6 6
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%!PS-Adobe-3.0 EPSF-3.0
%%Title: D:\Biskup-Personal\denHolla\dHOS-pictures\TWOdroplet\saddle.dvi
%%Creator: DVIPSONE (32) 2.1.6 http://www.YandY.com
%%For: Microsoft Research #2 (Redmond WA) 2344 1999 May 05 12:55:38
%%CreationDate: 2000 Feb 01 09:05:42
%%BoundingBox: 138 348 478 652
%%Pages: 1
%%PageOrder: Ascend
%%DocumentSuppliedResources: font cmmi10 cmr7 cmsy10 cmr10 
%%+ procset dvipream 2 1
%%Copyright: (C) 1990--1999, Y&Y, Inc.  (978) 371-3286  http://www.YandY.com
%%EndComments
% Command:
% C:\yandy\dvipsone\dvipsone.exe -v -V D:\Biskup-Personal\denHolla\dHOS-pictures\TWOdroplet\saddle.dvi 
% TeX output 2000.02.01:0905
%%BeginProlog
/dvidict 304 dict def
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dvidict begin
% textext encoding
/textext[/Gamma/Delta/Theta/Lambda/Xi/Pi/Sigma/Upsilon
/Phi/Psi/Omega/ff/fi/fl/ffi/ffl
/dotlessi/dotlessj/grave/acute/caron/breve/macron/ring
/cedilla/germandbls/ae/oe/oslash/AE/OE/Oslash
/suppress/exclam/quotedblright/numbersign/dollar/percent/ampersand/quoteright
/parenleft/parenright/asterisk/plus/comma/hyphen/period/slash
/zero/one/two/three/four/five/six/seven
/eight/nine/colon/semicolon/exclamdown/equal/questiondown/question
/at/A/B/C/D/E/F/G
/H/I/J/K/L/M/N/O
/P/Q/R/S/T/U/V/W
/X/Y/Z/bracketleft/quotedblleft/bracketright/circumflex/dotaccent
/quoteleft/a/b/c/d/e/f/g
/h/i/j/k/l/m/n/o
/p/q/r/s/t/u/v/w
/x/y/z/endash/emdash/hungarumlaut/tilde/dieresis
 128 notdef]def
end % dvidict
dvidict begin
% texnansi encoding
/texnansi[ n/uni20AC n n/fraction/dotaccent/hungarumlaut/ogonek
/fl/fraction/cwm/ff/fi/fl/ffi/ffl
/dotlessi/dotlessj/grave/acute/caron/breve/macron/ring
/cedilla/germandbls/ae/oe/oslash/AE/OE/Oslash
/space/exclam/quotedbl/numbersign/dollar/percent/ampersand/quoteright
/parenleft/parenright/asterisk/plus/comma/hyphen/period/slash
/zero/one/two/three/four/five/six/seven
/eight/nine/colon/semicolon/less/equal/greater/question
/at/A/B/C/D/E/F/G
/H/I/J/K/L/M/N/O
/P/Q/R/S/T/U/V/W
/X/Y/Z/bracketleft/backslash/bracketright/circumflex/underscore
/quoteleft/a/b/c/d/e/f/g
/h/i/j/k/l/m/n/o
/p/q/r/s/t/u/v/w
/x/y/z/braceleft/bar/braceright/tilde/dieresis
/Lslash/quotesingle/quotesinglbase/florin/quotedblbase/ellipsis/dagger/daggerdbl
/circumflex/perthousand/Scaron/guilsinglleft/OE/Zcaron/asciicircum/minus
/lslash/quoteleft/quoteright/quotedblleft/quotedblright/bullet/endash/emdash
/tilde/trademark/scaron/guilsinglright/oe/zcaron/asciitilde/Ydieresis
/space/exclamdown/cent/sterling/currency/yen/brokenbar/section
/dieresis/copyright/ordfeminine/guillemotleft/logicalnot/sfthyphen/registered/macron
/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph/periodcentered
/cedilla/onesuperior/ordmasculine/guillemotright/onequarter/onehalf/threequarters/questiondown
/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla
/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis
/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/multiply
/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls
/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla
/egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis
/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide
/oslash/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis]def
end % dvidict
%%EndProlog
%%BeginSetup
dvidict begin
%%BeginResource: font cmmi10
%!PS-AdobeFont-1.1: CMMI10 001.100
%%CreationDate: 1996 Jul 23 07:53:57
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
% Copyright (C) 1992 Y&Y, Inc. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (001.100) readonly def
/Notice (Copyright (c) 1988 - 1996 Blue Sky Research and Y&Y, Inc. (978) 371-3286) readonly def
/FullName (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/BaseFontName (CMMI10) def
end readonly def
/FontName /cmmi10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 96 /lscript put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5087385 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmr7
%!PS-AdobeFont-1.1: CMR7 001.003
%%CreationDate: 1992 Feb 19 19:55:08
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
% Copyright (C) 1992 Y&Y, Inc. All rights reserved.
11 dict begin
/FontInfo 10 dict dup begin
 /version (001.003) readonly def
 /Notice (Copyright (c) 1988 - 1992 Blue Sky Research and Y&Y, Inc. http://www.YandY.com) readonly def
 /FullName (CMR7) readonly def
 /FamilyName (Computer Modern) readonly def
 /Weight (Medium) readonly def
 /ItalicAngle 0 def
 /isFixedPitch false def
 /UnderlinePosition -100 def
 /UnderlineThickness 50 def
/BaseFontName (CMR7) def
end readonly def
/FontName /cmr7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding textext def
/FontBBox{-286 -250 1122 967}readonly def
/UniqueID 5000790 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmsy10
%!PS-AdobeFont-1.1: CMSY10 001.100
%%CreationDate: 1997 Aug 23 16:21:30
% Copyright (C) 1997 Y&Y, Inc.  All Rights Reserved.
11 dict begin
/FontInfo 10 dict dup begin
/version (001.100) readonly def
/Notice (Copyright (c) 1996 Y&Y, Inc.  All Right Reserved.  http://www.YandY.com) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/BaseFontName (CMSY10) def
end readonly def
/FontName /cmsy10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
/UniqueID 5096651 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmr10
%!PS-AdobeFont-1.1: CMR10 001.004
%%CreationDate: 1994 Jun 08 05:28:48
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
% Copyright (C) 1992 Y&Y, Inc. All rights reserved.
11 dict begin
/FontInfo 10 dict dup begin
 /version (001.004) readonly def
 /Notice (Copyright (c) 1988 - 1994 Blue Sky Research and Y&Y, Inc. http://www.YandY.com) readonly def
 /FullName (CMR10) readonly def
 /FamilyName (Computer Modern) readonly def
 /Weight (Medium) readonly def
 /ItalicAngle 0 def
 /isFixedPitch false def
 /UnderlinePosition -100 def
 /UnderlineThickness 50 def
/BaseFontName (CMR10) def
end readonly def
/FontName /cmr10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding textext def
/FontBBox{-40 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec
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%%Page: 10 10
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%%Page: 11 11
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dup 104/Eta put
dup 105/Iota put
dup 106/CurlyPhi put
dup 107/Kappa put
dup 108/Lambda put
dup 109/Mu put
dup 110/Nu put
dup 111/Omicron put
dup 112/Pi put
dup 113/Theta put
dup 114/Rho put
dup 115/Sigma put
dup 116/Tau put
dup 117/Upsilon put
dup 118/CurlyPi put
dup 119/Omega put
dup 120/Xi put
dup 121/Psi put
dup 122/Zeta put
dup 123/LBrace put
dup 124/VertBar put
dup 125/RBrace put
dup 126/Tilde put
dup 127/DEL put
dup 128/FractionBarExt put
dup 129/EscapeChar put
dup 130/SelectPlaceholder put
dup 131/Placeholder put
dup 132/Continuation put
dup 133/Skeleton put
dup 134/LSkeleton put
dup 135/RSkeleton put
dup 136/Spacer put
dup 137/Cross put
dup 138/DblEqual put
dup 139/Grave put
dup 140/Acute put
dup 141/DoubleAcute put
dup 142/OverTilde put
dup 143/OverBar put
dup 144/DblUpDownArrow put
dup 145/DblUpExtens1 put
dup 146/DblLongLArrow put
dup 147/DblExtens put
dup 148/DblLongRArrow put
dup 149/DblLRArrow2 put
dup 150/DblLongLRArrow put
dup 151/UpDownArrow put
dup 152/LongLArrow put
dup 153/LongRArrow put
dup 154/LongLRArrow put
dup 155/ColonEqual put
dup 156/Diamond2 put
dup 157/NotSquareSprsetEqual put
dup 158/AtSign put
dup 159/Solidmedsqr put
dup 160/OverDot put
dup 161/CurlyCapUpsilon put
dup 162/Prime put
dup 163/LessEqual put
dup 164/Fraction put
dup 165/Infinity put
dup 166/RuleDelayed put
dup 167/ClubSuit put
dup 168/DiamondSuit put
dup 169/HeartSuit put
dup 170/SpadeSuit put
dup 171/LRArrow put
dup 172/LArrow put
dup 173/UpArrow put
dup 174/RArrow put
dup 175/DownArrow put
dup 176/Degree put
dup 177/PlusMinus put
dup 178/DoublePrime put
dup 179/GreaterEqual put
dup 180/Multiply put
dup 181/Proportional put
dup 182/PartialDiff put
dup 183/Bullet put
dup 184/Divide put
dup 185/NotEqual put
dup 186/Equivalence put
dup 187/Approxequal put
dup 188/Ellipsis put
dup 189/ArrowVertEx put
dup 190/ArrowHorizEx put
dup 191/CarriageReturn put
dup 192/Aleph put
dup 193/IFraktur put
dup 194/RFraktur put
dup 195/Weierstrass put
dup 196/CircleMultiply put
dup 197/CirclePlus put
dup 198/EmptySet put
dup 199/Union put
dup 200/Intersection put
dup 201/ProperSuperset put
dup 202/nbspace put
dup 203/NotSubset put
dup 204/ProperSubset put
dup 205/ReflexSubset put
dup 206/Element put
dup 207/NotElement put
dup 208/Angle put
dup 209/Gradient put
dup 210/RegTM put
dup 211/Copyright put
dup 212/TM put
dup 213/Product put
dup 214/Radical put
dup 215/DotMath put
dup 216/LogicalNot put
dup 217/Wedge put
dup 218/Vee put
dup 219/DblLRArrow put
dup 220/DblLArrow put
dup 221/DblUpArrow put
dup 222/DblRArrow put
dup 223/DblDownArrow put
dup 224/Lozenge put
dup 225/LAngle put
dup 226/Diffd put
dup 227/Expe put
dup 228/Imagi put
dup 229/Sum put
dup 230/LParenTop put
dup 231/LParenEx put
dup 232/LParenBot put
dup 233/LBracketTop put
dup 234/LBracketEx put
dup 235/LBracketBot put
dup 236/LBraceTop put
dup 237/LBraceMid put
dup 238/LBraceBot put
dup 239/BraceEx put
dup 240/Slot put
dup 241/RAngle put
dup 242/Intergral put
dup 243/IntegralTop put
dup 244/IntegralEx put
dup 245/IntegralBot put
dup 246/RParenTop put
dup 247/RParenEx put
dup 248/RParenBot put
dup 249/RBracketTop put
dup 250/RBracketEx put
dup 251/RBracketBot put
dup 252/RBraceTop put
dup 253/RBraceMid put
dup 254/RBraceBot put
dup 255/Wolf put
 readonly def
/PaintType 0 def
/FontType 1 def
/StrokeWidth 0 def
/FontMatrix[0.001 0 0 0.001 0 0]readonly def
/UniqueID 5095651 def
/FontBBox{-16 -197 1296 853}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
dvidict begin
% textext encoding
/textext[/Gamma/Delta/Theta/Lambda/Xi/Pi/Sigma/Upsilon
/Phi/Psi/Omega/ff/fi/fl/ffi/ffl
/dotlessi/dotlessj/grave/acute/caron/breve/macron/ring
/cedilla/germandbls/ae/oe/oslash/AE/OE/Oslash
/suppress/exclam/quotedblright/numbersign/dollar/percent/ampersand/quoteright
/parenleft/parenright/asterisk/plus/comma/hyphen/period/slash
/zero/one/two/three/four/five/six/seven
/eight/nine/colon/semicolon/exclamdown/equal/questiondown/question
/at/A/B/C/D/E/F/G
/H/I/J/K/L/M/N/O
/P/Q/R/S/T/U/V/W
/X/Y/Z/bracketleft/quotedblleft/bracketright/circumflex/dotaccent
/quoteleft/a/b/c/d/e/f/g
/h/i/j/k/l/m/n/o
/p/q/r/s/t/u/v/w
/x/y/z/endash/emdash/hungarumlaut/tilde/dieresis
 128 notdef]def
end % dvidict
dvidict begin
% TEXNANSI encoding
/TEXNANSI[ n/uni20AC n n/fraction/dotaccent/hungarumlaut/ogonek
/fl/fraction/cwm/ff/fi/fl/ffi/ffl
/dotlessi/dotlessj/grave/acute/caron/breve/macron/ring
/cedilla/germandbls/ae/oe/oslash/AE/OE/Oslash
/space/exclam/quotedbl/numbersign/dollar/percent/ampersand/quoteright
/parenleft/parenright/asterisk/plus/comma/hyphen/period/slash
/zero/one/two/three/four/five/six/seven
/eight/nine/colon/semicolon/less/equal/greater/question
/at/A/B/C/D/E/F/G
/H/I/J/K/L/M/N/O
/P/Q/R/S/T/U/V/W
/X/Y/Z/bracketleft/backslash/bracketright/circumflex/underscore
/quoteleft/a/b/c/d/e/f/g
/h/i/j/k/l/m/n/o
/p/q/r/s/t/u/v/w
/x/y/z/braceleft/bar/braceright/tilde/dieresis
/Lslash/quotesingle/quotesinglbase/florin/quotedblbase/ellipsis/dagger/daggerdbl
/circumflex/perthousand/Scaron/guilsinglleft/OE/Zcaron/asciicircum/minus
/lslash/quoteleft/quoteright/quotedblleft/quotedblright/bullet/endash/emdash
/tilde/trademark/scaron/guilsinglright/oe/zcaron/asciitilde/Ydieresis
/space/exclamdown/cent/sterling/currency/yen/brokenbar/section
/dieresis/copyright/ordfeminine/guillemotleft/logicalnot/sfthyphen/registered/macron
/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph/periodcentered
/cedilla/onesuperior/ordmasculine/guillemotright/onequarter/onehalf/threequarters/questiondown
/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla
/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis
/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/multiply
/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls
/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla
/egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis
/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide
/oslash/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis]def
end % dvidict
%%EndProlog
%%BeginSetup
dvidict begin
%%BeginResource: font cmr10
%!PS-AdobeFont-1.1: CMR10 001.004
%%CreationDate: 1994 Jun 08 05:28:48
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
% Copyright (C) 1992 Y&Y, Inc. All rights reserved.
11 dict begin
/FontInfo 10 dict dup begin
 /version (001.004) readonly def
 /Notice (Copyright (c) 1988 - 1994 Blue Sky Research and Y&Y, Inc. http://www.YandY.com) readonly def
 /FullName (CMR10) readonly def
 /FamilyName (Computer Modern) readonly def
 /Weight (Medium) readonly def
 /ItalicAngle 0 def
 /isFixedPitch false def
 /UnderlinePosition -100 def
 /UnderlineThickness 50 def
/BaseFontName (CMR10) def
end readonly def
/FontName /CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /Gamma put
dup 1 /Delta put
dup 2 /Theta put
dup 3 /Lambda put
dup 4 /Xi put
dup 5 /Pi put
dup 6 /Sigma put
dup 7 /Upsilon put
dup 8 /Phi put
dup 9 /Psi put
dup 10 /Omega put
dup 11 /ff put
dup 12 /fi put
dup 13 /fl put
dup 14 /ffi put
dup 15 /ffl put
dup 16 /dotlessi put
dup 17 /dotlessj put
dup 18 /grave put
dup 19 /acute put
dup 20 /caron put
dup 21 /breve put
dup 22 /macron put
dup 23 /ring put
dup 24 /cedilla put
dup 25 /germandbls put
dup 26 /ae put
dup 27 /oe put
dup 28 /oslash put
dup 29 /AE put
dup 30 /OE put
dup 31 /Oslash put
dup 32 /suppress put
dup 33 /exclam put
dup 34 /quotedblright put
dup 35 /numbersign put
dup 36 /dollar put
dup 37 /percent put
dup 38 /ampersand put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 42 /asterisk put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 59 /semicolon put
dup 60 /exclamdown put
dup 61 /equal put
dup 62 /questiondown put
dup 63 /question put
dup 64 /at put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 91 /bracketleft put
dup 92 /quotedblleft put
dup 93 /bracketright put
dup 94 /circumflex put
dup 95 /dotaccent put
dup 96 /quoteleft put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /endash put
dup 124 /emdash put
dup 125 /hungarumlaut put
dup 126 /tilde put
dup 127 /dieresis put
dup 128 /suppress put
dup 160 /space put
dup 161 /Gamma put
dup 162 /Delta put
dup 163 /Theta put
dup 164 /Lambda put
dup 165 /Xi put
dup 166 /Pi put
dup 167 /Sigma put
dup 168 /Upsilon put
dup 169 /Phi put
dup 170 /Psi put
dup 171 /sfthyphen put
dup 172 /nbspace put
dup 173 /Omega put
dup 174 /ff put
dup 175 /fi put
dup 176 /fl put
dup 177 /ffi put
dup 178 /ffl put
dup 179 /dotlessi put
dup 180 /dotlessj put
dup 181 /grave put
dup 182 /acute put
dup 183 /caron put
dup 184 /breve put
dup 185 /macron put
dup 186 /ring put
dup 187 /cedilla put
dup 188 /germandbls put
dup 189 /ae put
dup 190 /oe put
dup 191 /oslash put
dup 192 /AE put
dup 193 /OE put
dup 194 /Oslash put
dup 195 /suppress put
dup 196 /dieresis put
readonly def
/FontBBox{-40 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmmi10
%!PS-AdobeFont-1.1: CMMI10 001.100
%%CreationDate: 1996 Jul 23 07:53:57
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
% Copyright (C) 1992 Y&Y, Inc. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (001.100) readonly def
/Notice (Copyright (c) 1988 - 1996 Blue Sky Research and Y&Y, Inc. (978) 371-3286) readonly def
/FullName (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/BaseFontName (CMMI10) def
end readonly def
/FontName /CMMI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /Gamma put
dup 1 /Delta put
dup 2 /Theta put
dup 3 /Lambda put
dup 4 /Xi put
dup 5 /Pi put
dup 6 /Sigma put
dup 7 /Upsilon put
dup 8 /Phi put
dup 9 /Psi put
dup 10 /Omega put
dup 11 /alpha put
dup 12 /beta put
dup 13 /gamma put
dup 14 /delta put
dup 15 /epsilon1 put
dup 16 /zeta put
dup 17 /eta put
dup 18 /theta put
dup 19 /iota put
dup 20 /kappa put
dup 21 /lambda put
dup 22 /mu put
dup 23 /nu put
dup 24 /xi put
dup 25 /pi put
dup 26 /rho put
dup 27 /sigma put
dup 28 /tau put
dup 29 /upsilon put
dup 30 /phi put
dup 31 /chi put
dup 32 /psi put
dup 33 /omega put
dup 34 /epsilon put
dup 35 /theta1 put
dup 36 /pi1 put
dup 37 /rho1 put
dup 38 /sigma1 put
dup 39 /phi1 put
dup 40 /arrowlefttophalf put
dup 41 /arrowleftbothalf put
dup 42 /arrowrighttophalf put
dup 43 /arrowrightbothalf put
dup 44 /arrowhookleft put
dup 45 /arrowhookright put
dup 46 /triangleright put
dup 47 /triangleleft put
dup 48 /zerooldstyle put
dup 49 /oneoldstyle put
dup 50 /twooldstyle put
dup 51 /threeoldstyle put
dup 52 /fouroldstyle put
dup 53 /fiveoldstyle put
dup 54 /sixoldstyle put
dup 55 /sevenoldstyle put
dup 56 /eightoldstyle put
dup 57 /nineoldstyle put
dup 58 /period put
dup 59 /comma put
dup 60 /less put
dup 61 /slash put
dup 62 /greater put
dup 63 /star put
dup 64 /partialdiff put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 91 /flat put
dup 92 /natural put
dup 93 /sharp put
dup 94 /slurbelow put
dup 95 /slurabove put
dup 96 /lscript put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /dotlessi put
dup 124 /dotlessj put
dup 125 /weierstrass put
dup 126 /vector put
dup 127 /tie put
dup 128 /psi put
dup 160 /space put
dup 161 /Gamma put
dup 162 /Delta put
dup 163 /Theta put
dup 164 /Lambda put
dup 165 /Xi put
dup 166 /Pi put
dup 167 /Sigma put
dup 168 /Upsilon put
dup 169 /Phi put
dup 170 /Psi put
dup 173 /Omega put
dup 174 /alpha put
dup 175 /beta put
dup 176 /gamma put
dup 177 /delta put
dup 178 /epsilon1 put
dup 179 /zeta put
dup 180 /eta put
dup 181 /theta put
dup 182 /iota put
dup 183 /kappa put
dup 184 /lambda put
dup 185 /mu put
dup 186 /nu put
dup 187 /xi put
dup 188 /pi put
dup 189 /rho put
dup 190 /sigma put
dup 191 /tau put
dup 192 /upsilon put
dup 193 /phi put
dup 194 /chi put
dup 195 /psi put
dup 196 /tie put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5087385 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmbsy10
%!PS-AdobeFont-1.1: CMBSY10 001.100
%%CreationDate: 1997 Aug 31 22:13:11
% Copyright (C) 1997 Y&Y, Inc.  All Rights Reserved.
11 dict begin
/FontInfo 10 dict dup begin
/version (001.100) readonly def
/Notice (Copyright (C) 1997 Y&Y, Inc.  All Rights Reserved.  http://www.YandY.com) readonly def
/FullName (CMBSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/BaseFontName (CMBSY10) def
end readonly def
/FontName /CMBSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 1 /periodcentered put
dup 2 /multiply put
dup 3 /asteriskmath put
dup 4 /divide put
dup 5 /diamondmath put
dup 6 /plusminus put
dup 7 /minusplus put
dup 8 /circleplus put
dup 9 /circleminus put
dup 10 /circlemultiply put
dup 11 /circledivide put
dup 12 /circledot put
dup 13 /circlecopyrt put
dup 14 /openbullet put
dup 15 /bullet put
dup 16 /equivasymptotic put
dup 17 /equivalence put
dup 18 /reflexsubset put
dup 19 /reflexsuperset put
dup 20 /lessequal put
dup 21 /greaterequal put
dup 22 /precedesequal put
dup 23 /followsequal put
dup 24 /similar put
dup 25 /approxequal put
dup 26 /propersubset put
dup 27 /propersuperset put
dup 28 /lessmuch put
dup 29 /greatermuch put
dup 30 /precedes put
dup 31 /follows put
dup 32 /arrowleft put
dup 33 /arrowright put
dup 34 /arrowup put
dup 35 /arrowdown put
dup 36 /arrowboth put
dup 37 /arrownortheast put
dup 38 /arrowsoutheast put
dup 39 /similarequal put
dup 40 /arrowdblleft put
dup 41 /arrowdblright put
dup 42 /arrowdblup put
dup 43 /arrowdbldown put
dup 44 /arrowdblboth put
dup 45 /arrownorthwest put
dup 46 /arrowsouthwest put
dup 47 /proportional put
dup 48 /prime put
dup 49 /infinity put
dup 50 /element put
dup 51 /owner put
dup 52 /triangle put
dup 53 /triangleinv put
dup 54 /negationslash put
dup 55 /mapsto put
dup 56 /universal put
dup 57 /existential put
dup 58 /logicalnot put
dup 59 /emptyset put
dup 60 /Rfractur put
dup 61 /Ifractur put
dup 62 /latticetop put
dup 63 /perpendicular put
dup 64 /aleph put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 91 /union put
dup 92 /intersection put
dup 93 /unionmulti put
dup 94 /logicaland put
dup 95 /logicalor put
dup 96 /turnstileleft put
dup 97 /turnstileright put
dup 98 /floorleft put
dup 99 /floorright put
dup 100 /ceilingleft put
dup 101 /ceilingright put
dup 102 /braceleft put
dup 103 /braceright put
dup 104 /angbracketleft put
dup 105 /angbracketright put
dup 106 /bar put
dup 107 /bardbl put
dup 108 /arrowbothv put
dup 109 /arrowdblbothv put
dup 110 /backslash put
dup 111 /wreathproduct put
dup 112 /radical put
dup 113 /coproduct put
dup 114 /nabla put
dup 115 /integral put
dup 116 /unionsq put
dup 117 /intersectionsq put
dup 118 /subsetsqequal put
dup 119 /supersetsqequal put
dup 120 /section put
dup 121 /dagger put
dup 122 /daggerdbl put
dup 123 /paragraph put
dup 124 /club put
dup 125 /diamond put
dup 126 /heart put
dup 127 /spade put
dup 128 /arrowleft put
dup 160 /space put
dup 161 /minus put
dup 162 /periodcentered put
dup 163 /multiply put
dup 164 /asteriskmath put
dup 165 /divide put
dup 166 /diamondmath put
dup 167 /plusminus put
dup 168 /minusplus put
dup 169 /circleplus put
dup 170 /circleminus put
dup 173 /circlemultiply put
dup 174 /circledivide put
dup 175 /circledot put
dup 176 /circlecopyrt put
dup 177 /openbullet put
dup 178 /bullet put
dup 179 /equivasymptotic put
dup 180 /equivalence put
dup 181 /reflexsubset put
dup 182 /reflexsuperset put
dup 183 /lessequal put
dup 184 /greaterequal put
dup 185 /precedesequal put
dup 186 /followsequal put
dup 187 /similar put
dup 188 /approxequal put
dup 189 /propersubset put
dup 190 /propersuperset put
dup 191 /lessmuch put
dup 192 /greatermuch put
dup 193 /precedes put
dup 194 /follows put
dup 195 /arrowleft put
dup 196 /spade put
readonly def
/FontBBox{-26 -940 1332 825}readonly def
/UniqueID 5096657 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmr7
%!PS-AdobeFont-1.1: CMR7 001.003
%%CreationDate: 1992 Feb 19 19:55:08
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
% Copyright (C) 1992 Y&Y, Inc. All rights reserved.
11 dict begin
/FontInfo 10 dict dup begin
 /version (001.003) readonly def
 /Notice (Copyright (c) 1988 - 1992 Blue Sky Research and Y&Y, Inc. http://www.YandY.com) readonly def
 /FullName (CMR7) readonly def
 /FamilyName (Computer Modern) readonly def
 /Weight (Medium) readonly def
 /ItalicAngle 0 def
 /isFixedPitch false def
 /UnderlinePosition -100 def
 /UnderlineThickness 50 def
/BaseFontName (CMR7) def
end readonly def
/FontName /CMR7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /Gamma put
dup 1 /Delta put
dup 2 /Theta put
dup 3 /Lambda put
dup 4 /Xi put
dup 5 /Pi put
dup 6 /Sigma put
dup 7 /Upsilon put
dup 8 /Phi put
dup 9 /Psi put
dup 10 /Omega put
dup 11 /ff put
dup 12 /fi put
dup 13 /fl put
dup 14 /ffi put
dup 15 /ffl put
dup 16 /dotlessi put
dup 17 /dotlessj put
dup 18 /grave put
dup 19 /acute put
dup 20 /caron put
dup 21 /breve put
dup 22 /macron put
dup 23 /ring put
dup 24 /cedilla put
dup 25 /germandbls put
dup 26 /ae put
dup 27 /oe put
dup 28 /oslash put
dup 29 /AE put
dup 30 /OE put
dup 31 /Oslash put
dup 32 /suppress put
dup 33 /exclam put
dup 34 /quotedblright put
dup 35 /numbersign put
dup 36 /dollar put
dup 37 /percent put
dup 38 /ampersand put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 42 /asterisk put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 59 /semicolon put
dup 60 /exclamdown put
dup 61 /equal put
dup 62 /questiondown put
dup 63 /question put
dup 64 /at put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 91 /bracketleft put
dup 92 /quotedblleft put
dup 93 /bracketright put
dup 94 /circumflex put
dup 95 /dotaccent put
dup 96 /quoteleft put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /endash put
dup 124 /emdash put
dup 125 /hungarumlaut put
dup 126 /tilde put
dup 127 /dieresis put
dup 128 /suppress put
dup 160 /space put
dup 161 /Gamma put
dup 162 /Delta put
dup 163 /Theta put
dup 164 /Lambda put
dup 165 /Xi put
dup 166 /Pi put
dup 167 /Sigma put
dup 168 /Upsilon put
dup 169 /Phi put
dup 170 /Psi put
dup 171 /sfthyphen put
dup 172 /nbspace put
dup 173 /Omega put
dup 174 /ff put
dup 175 /fi put
dup 176 /fl put
dup 177 /ffi put
dup 178 /ffl put
dup 179 /dotlessi put
dup 180 /dotlessj put
dup 181 /grave put
dup 182 /acute put
dup 183 /caron put
dup 184 /breve put
dup 185 /macron put
dup 186 /ring put
dup 187 /cedilla put
dup 188 /germandbls put
dup 189 /ae put
dup 190 /oe put
dup 191 /oslash put
dup 192 /AE put
dup 193 /OE put
dup 194 /Oslash put
dup 195 /suppress put
dup 196 /dieresis put
readonly def
/FontBBox{-286 -250 1122 967}readonly def
/UniqueID 5000790 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmsy7
%!PS-AdobeFont-1.1: CMSY7 001.100
%%CreationDate: 1997 Aug 23 16:21:31
% Copyright (C) 1997 Y&Y, Inc.  All Rights Reserved.
11 dict begin
/FontInfo 10 dict dup begin
/version (001.100) readonly def
/Notice (Copyright (c) 1996 Y&Y, Inc.  All Right Reserved.  http://www.YandY.com) readonly def
/FullName (CMSY7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/BaseFontName (CMSY7) def
end readonly def
/FontName /CMSY7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 1 /periodcentered put
dup 2 /multiply put
dup 3 /asteriskmath put
dup 4 /divide put
dup 5 /diamondmath put
dup 6 /plusminus put
dup 7 /minusplus put
dup 8 /circleplus put
dup 9 /circleminus put
dup 10 /circlemultiply put
dup 11 /circledivide put
dup 12 /circledot put
dup 13 /circlecopyrt put
dup 14 /openbullet put
dup 15 /bullet put
dup 16 /equivasymptotic put
dup 17 /equivalence put
dup 18 /reflexsubset put
dup 19 /reflexsuperset put
dup 20 /lessequal put
dup 21 /greaterequal put
dup 22 /precedesequal put
dup 23 /followsequal put
dup 24 /similar put
dup 25 /approxequal put
dup 26 /propersubset put
dup 27 /propersuperset put
dup 28 /lessmuch put
dup 29 /greatermuch put
dup 30 /precedes put
dup 31 /follows put
dup 32 /arrowleft put
dup 33 /arrowright put
dup 34 /arrowup put
dup 35 /arrowdown put
dup 36 /arrowboth put
dup 37 /arrownortheast put
dup 38 /arrowsoutheast put
dup 39 /similarequal put
dup 40 /arrowdblleft put
dup 41 /arrowdblright put
dup 42 /arrowdblup put
dup 43 /arrowdbldown put
dup 44 /arrowdblboth put
dup 45 /arrownorthwest put
dup 46 /arrowsouthwest put
dup 47 /proportional put
dup 48 /prime put
dup 49 /infinity put
dup 50 /element put
dup 51 /owner put
dup 52 /triangle put
dup 53 /triangleinv put
dup 54 /negationslash put
dup 55 /mapsto put
dup 56 /universal put
dup 57 /existential put
dup 58 /logicalnot put
dup 59 /emptyset put
dup 60 /Rfractur put
dup 61 /Ifractur put
dup 62 /latticetop put
dup 63 /perpendicular put
dup 64 /aleph put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 91 /union put
dup 92 /intersection put
dup 93 /unionmulti put
dup 94 /logicaland put
dup 95 /logicalor put
dup 96 /turnstileleft put
dup 97 /turnstileright put
dup 98 /floorleft put
dup 99 /floorright put
dup 100 /ceilingleft put
dup 101 /ceilingright put
dup 102 /braceleft put
dup 103 /braceright put
dup 104 /angbracketleft put
dup 105 /angbracketright put
dup 106 /bar put
dup 107 /bardbl put
dup 108 /arrowbothv put
dup 109 /arrowdblbothv put
dup 110 /backslash put
dup 111 /wreathproduct put
dup 112 /radical put
dup 113 /coproduct put
dup 114 /nabla put
dup 115 /integral put
dup 116 /unionsq put
dup 117 /intersectionsq put
dup 118 /subsetsqequal put
dup 119 /supersetsqequal put
dup 120 /section put
dup 121 /dagger put
dup 122 /daggerdbl put
dup 123 /paragraph put
dup 124 /club put
dup 125 /diamond put
dup 126 /heart put
dup 127 /spade put
dup 128 /arrowleft put
dup 160 /space put
dup 161 /minus put
dup 162 /periodcentered put
dup 163 /multiply put
dup 164 /asteriskmath put
dup 165 /divide put
dup 166 /diamondmath put
dup 167 /plusminus put
dup 168 /minusplus put
dup 169 /circleplus put
dup 170 /circleminus put
dup 173 /circlemultiply put
dup 174 /circledivide put
dup 175 /circledot put
dup 176 /circlecopyrt put
dup 177 /openbullet put
dup 178 /bullet put
dup 179 /equivasymptotic put
dup 180 /equivalence put
dup 181 /reflexsubset put
dup 182 /reflexsuperset put
dup 183 /lessequal put
dup 184 /greaterequal put
dup 185 /precedesequal put
dup 186 /followsequal put
dup 187 /similar put
dup 188 /approxequal put
dup 189 /propersubset put
dup 190 /propersuperset put
dup 191 /lessmuch put
dup 192 /greatermuch put
dup 193 /precedes put
dup 194 /follows put
dup 195 /arrowleft put
dup 196 /spade put
readonly def
/FontBBox{-15 -951 1252 782}readonly def
/UniqueID 5096648 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmmi7
%!PS-AdobeFont-1.1: CMMI7 001.100
%%CreationDate: 1996 Jul 23 07:53:53
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
% Copyright (C) 1992 Y&Y, Inc. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (001.100) readonly def
/Notice (Copyright (c) 1988 - 1996 Blue Sky Research and Y&Y, Inc. (978) 371-3286) readonly def
/FullName (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/BaseFontName (CMMI7) def
end readonly def
/FontName /CMMI7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /Gamma put
dup 1 /Delta put
dup 2 /Theta put
dup 3 /Lambda put
dup 4 /Xi put
dup 5 /Pi put
dup 6 /Sigma put
dup 7 /Upsilon put
dup 8 /Phi put
dup 9 /Psi put
dup 10 /Omega put
dup 11 /alpha put
dup 12 /beta put
dup 13 /gamma put
dup 14 /delta put
dup 15 /epsilon1 put
dup 16 /zeta put
dup 17 /eta put
dup 18 /theta put
dup 19 /iota put
dup 20 /kappa put
dup 21 /lambda put
dup 22 /mu put
dup 23 /nu put
dup 24 /xi put
dup 25 /pi put
dup 26 /rho put
dup 27 /sigma put
dup 28 /tau put
dup 29 /upsilon put
dup 30 /phi put
dup 31 /chi put
dup 32 /psi put
dup 33 /omega put
dup 34 /epsilon put
dup 35 /theta1 put
dup 36 /pi1 put
dup 37 /rho1 put
dup 38 /sigma1 put
dup 39 /phi1 put
dup 40 /arrowlefttophalf put
dup 41 /arrowleftbothalf put
dup 42 /arrowrighttophalf put
dup 43 /arrowrightbothalf put
dup 44 /arrowhookleft put
dup 45 /arrowhookright put
dup 46 /triangleright put
dup 47 /triangleleft put
dup 48 /zerooldstyle put
dup 49 /oneoldstyle put
dup 50 /twooldstyle put
dup 51 /threeoldstyle put
dup 52 /fouroldstyle put
dup 53 /fiveoldstyle put
dup 54 /sixoldstyle put
dup 55 /sevenoldstyle put
dup 56 /eightoldstyle put
dup 57 /nineoldstyle put
dup 58 /period put
dup 59 /comma put
dup 60 /less put
dup 61 /slash put
dup 62 /greater put
dup 63 /star put
dup 64 /partialdiff put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 91 /flat put
dup 92 /natural put
dup 93 /sharp put
dup 94 /slurbelow put
dup 95 /slurabove put
dup 96 /lscript put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /dotlessi put
dup 124 /dotlessj put
dup 125 /weierstrass put
dup 126 /vector put
dup 127 /tie put
dup 128 /psi put
dup 160 /space put
dup 161 /Gamma put
dup 162 /Delta put
dup 163 /Theta put
dup 164 /Lambda put
dup 165 /Xi put
dup 166 /Pi put
dup 167 /Sigma put
dup 168 /Upsilon put
dup 169 /Phi put
dup 170 /Psi put
dup 173 /Omega put
dup 174 /alpha put
dup 175 /beta put
dup 176 /gamma put
dup 177 /delta put
dup 178 /epsilon1 put
dup 179 /zeta put
dup 180 /eta put
dup 181 /theta put
dup 182 /iota put
dup 183 /kappa put
dup 184 /lambda put
dup 185 /mu put
dup 186 /nu put
dup 187 /xi put
dup 188 /pi put
dup 189 /rho put
dup 190 /sigma put
dup 191 /tau put
dup 192 /upsilon put
dup 193 /phi put
dup 194 /chi put
dup 195 /psi put
dup 196 /tie put
readonly def
/FontBBox{0 -250 1171 750}readonly def
/UniqueID 5087382 def
currentdict end
currentfile eexec
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%%Page: 21 21
21 20 bop Black Black Black 90 99 a Fm(Lemma)33 b(2.3.5)p
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%%Page: 22 22
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%%Page: 23 23
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%%Page: 26 26
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eop
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%%Page: 28 28
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2847 y Fq(>)25 b(\034)3174 2861 y Fo(\021)3216 2847 y
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FD([)p Fo(\021)2397 4581 y Fx(\))p 1861 4625 572 4 v
1861 4708 a Fs(P)1916 4722 y Fo(\021)1958 4708 y Fx(\()p
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2574 4625 470 4 v 2574 4708 a Fs(P)2629 4722 y Fo(\021)2671
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5090 y Fx(\))p 451 5131 V 451 5214 a Fs(P)506 5228 y
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Fq(C)7 b Fx(\()p Fq(\021)s Fx(\).)1305 b Ft(~)p Black
1890 5656 a Fx(29)p Black eop
%%Page: 30 30
30 29 bop Black Black 231 99 a Fx(Kno)m(wing)32 b(that)h
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%%Page: 31 31
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%%Page: 32 32
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y Fp(X)2506 2504 y Fn(x;x)2595 2490 y Fz(0)2616 2504
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2355 y FD(0)3223 2393 y Fx(\)])3283 2355 y Fr(2)3323
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42 b(T)-8 b(o)31 b(see)g(ho)m(w)f(this)f(b)s(ound)f(arises)i(from)g
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Fq(\021)t(;)15 b(x)p Fx(\))32 b(corresp)s(onds)e(to)j
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b Fq(\021)34 b Fx(corresp)s(onds)c(to)i Fq(\021)d Ft(2)d(C)2595
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3725 y(b)s(oundary)28 b(conditions.)90 3886 y(\002)d
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7 b Fx(,)31 b(and)1091 4204 y Fq(h)p Fx(\()p Fq(\021)s
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b Fq(\021)f Ft(2)c(X)2135 4283 y FD(\003)2194 4316 y
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y Fd(\004)2181 4983 y Ft([)g Fx(\()p Ft([)2358 4945 y
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y Fo(i)2569 4983 y Fx(\)])26 b(=)f Ft(;)p Fq(:)656 b
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s(oundary)e(condition)h Fq(g)s Ft(j)2140 5314 y Fo(@)2181
5295 y Fg(+)2232 5314 y Fr(\003)2318 5294 y Ft(\021)f
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%%Page: 33 33
33 32 bop Black Black 90 99 a Fq(g)s Ft(j)161 130 y Fy(CR)274
100 y Fg(++)371 130 y Fr(\()5 b(^)-40 b Fo(\021)s Fr(\))513
99 y Ft(\021)45 b Fx(0)e(in)d(\(3.3.23\))46 b(with)41
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s(osition)e(2.3.7,)47 b(the)c(only)90 228 y(transitions)22
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195 y FD(\003)1552 228 y Fx(are)h(those)g(where)f(a)h(free)g(particle)f
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1181 y(Theorem)k(1.3\(iv\).)231 1294 y(The)h(capacit)m(y)h(de\014ned)e
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1934 y Fx(,)32 b(the)f(capacities)h Fy(CAP)1340 1901
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1901 y Fr(++)2929 1934 y Fx(\()7 b(^)-52 b Fq(\021)s
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2373 a Fm(Lemma)j(3.4.1)p Black 46 w Fv(Write)g Fx(\003)25
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Fn("M)1535 2495 y Fp(\014)1535 2550 y(\014)1535 2604
y(\014)1535 2659 y(\014)1576 2565 y Fx(log)16 b Fq(M)p
1576 2606 231 4 v 1641 2689 a Fx(2)p Fq(\031)1832 2627
y Fy(CAP)2009 2589 y Fo(B)2065 2560 y Fg(+)2062 2613
y Fn(M)2133 2627 y Fx(\()p Fq(@)2221 2589 y Fr(+)2281
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2659 y(\014)2948 2627 y Fx(=)25 b(0)433 b(\(3.4.1\))90
2930 y Fv(and)756 3070 y Fx(lim)711 3131 y Fo(M)7 b FD(!1)1119
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3185 y Fn(d)p Fg(\()p Fn(@)1059 3171 y Fg(+)1110 3185
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y(\014)1466 3048 y(\014)1466 3102 y(\014)1506 3009 y
Fx(log)17 b Fq(M)p 1506 3049 V 1571 3133 a Fx(2)p Fq(\031)1762
3070 y Fy(CAP)1939 3033 y Fo(B)1995 3003 y Fg(+)1992
3056 y Fn(M)2064 3070 y Fx(\()p Fq(@)2152 3033 y Fr(+)2211
3070 y Fq(B)2280 3084 y Fo(M)2359 3070 y Fq(;)e Fy(CR)2512
3033 y Fr(++)2626 3070 y Fx(\()7 b(^)-52 b Fq(\021)s
Fx(\)\))21 b Ft(\000)f Fx(1)2936 2939 y Fp(\014)2936
2993 y(\014)2936 3048 y(\014)2936 3102 y(\014)2992 3070
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y Fq(B)611 3360 y Fo(M)690 3346 y Fq(;)22 b Fx(^)-52
b Fq(\021)s Fx(\))26 b(=)f(min)o Ft(fj)p Fq(x)20 b Ft(\000)g
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y Fq(;)31 b(y)d Ft(2)j Fx(^)-51 b Fq(\021)s Ft(g)p Fv(.)90
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(\(3.4.1\).)82 b(F)-8 b(or)50 b(^)-52 b Fq(\021)50 b
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y Fo(M)2650 3559 y Fx(denote)d(the)g(cen)m(ter)h(of)g
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m(er)g(whic)m(h)e(the)i(Diric)m(hlet)e(form)g(is)h(minimized.)90
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3951 y Fo(B)701 3921 y Fg(+)698 3974 y Fn(M)769 3989
y Fx(\()p Fq(@)857 3951 y Fr(+)917 3989 y Fq(B)986 4003
y Fo(M)1065 3989 y Fq(;)15 b Fy(CR)p Fx(\()7 b(^)-52
b Fq(\021)t Fx(\)\))26 b Ft(\025)f Fy(CAP)1670 3951 y
Fo(B)1726 3921 y Fg(+)1723 3974 y Fn(M)1795 3989 y Fx(\()p
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3989 y Fq(;)15 b(y)s Fx(\))26 b Ft(\025)f Fy(CAP)2512
3951 y Fo(B)2568 3921 y Fg(+)2565 3974 y(2)p Fn(M)2668
3989 y Fx(\()p Fq(@)2756 3951 y Fr(+)2815 3989 y Fq(B)2884
4003 y Fr(2)p Fo(M)2999 3989 y Fq(;)15 b Fx(0\))p Fq(:)378
b Fx(\(3.4.3\))90 4193 y(According)30 b(to)h(R)m(\023)-43
b(ev)m(\023)g(esz)33 b([12)r(],)d(Lemma)h(22.1,)h(w)m(e)f(ha)m(v)m(e)
634 4436 y Fy(CAP)799 4398 y Fo(B)855 4368 y Fg(+)852
4421 y(2)p Fn(M)954 4436 y Fx(\()p Fq(@)1042 4398 y Fr(+)1102
4436 y Fq(B)1171 4450 y Fr(2)p Fo(M)1285 4436 y Fq(;)15
b Fx(0\))27 b(=)e(4)p Fs(P)1628 4450 y Fr(0)1668 4436
y Fx(\()p Fq(\034)1743 4455 y Fo(@)1784 4436 y Fg(+)1835
4455 y Fo(B)1888 4466 y Fg(2)p Fn(M)2015 4436 y Fq(<)g(\034)2151
4450 y Fr(0)2191 4436 y Fx(\))g Ft(\030)2473 4374 y Fx(2)p
Fq(\031)p 2357 4415 332 4 v 2357 4498 a Fx(log)r(\(2)p
Fq(M)10 b Fx(\))2881 4436 y Fq(M)35 b Ft(!)25 b(1)p Fq(;)286
b Fx(\(3.4.4\))90 4696 y(where)30 b Fs(P)408 4710 y Fr(0)478
4696 y Fx(is)f(the)i(la)m(w)f(on)g(path)g(space)h(of)f(the)g
Fv(discr)-5 b(ete-time)38 b Fx(simple)28 b(random)i(w)m(alk)g(on)g
Fs(Z)3295 4663 y Fr(2)3360 4696 y Fx(starting)g(at)90
4809 y(0.)47 b(This)31 b(pro)m(v)m(es)i(the)f(desired)f(lo)m(w)m(er)i
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(w)m(e)h(ha)m(v)m(e)278 5251 y Fy(CAP)455 5214 y Fo(B)511
5184 y Fg(+)508 5237 y Fn(M)580 5251 y Fx(\()p Fq(@)668
5214 y Fr(+)728 5251 y Fq(B)797 5265 y Fo(M)875 5251
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b Ft(\024)f Fy(CAP)1481 5214 y Fo(B)1537 5184 y Fg(+)1534
5237 y Fn(M)1605 5251 y Fx(\()p Fq(@)1693 5214 y Fr(+)1753
5251 y Fq(B)1822 5265 y Fo(M)1901 5251 y Fq(;)15 b(S)1997
5266 y Fo(`)2026 5274 y Fn(c)2062 5251 y Fx(\()p Fq(y)s
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5214 y Fr(+)2816 5251 y Fq(B)2885 5265 y Fo("M)2997 5251
y Fq(;)15 b(S)3093 5266 y Fo(`)3122 5274 y Fn(c)3158
5251 y Fx(\(0\)\))p Fq(;)189 b Fx(\(3.4.5\))p Black 1890
5656 a(33)p Black eop
%%Page: 34 34
34 33 bop Black Black 90 99 a Fx(where)25 b Fq(S)404
114 y Fo(`)433 122 y Fn(c)468 99 y Fx(\()p Fq(y)s Fx(\))h(is)e(the)h
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y Fq(B)1628 225 y Fo(M)1707 211 y Fq(;)e Fx(^)-52 b Fq(\021)t
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437 y Fy(CAP)906 400 y Fo(B)962 370 y Fg(+)959 423 y
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437 y Fx(\()p Fq(@)2242 400 y Fr(+)2301 437 y Fq(B)2370
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b Fn(\021)r Fz(2D)1357 1261 y Fn(d)p Fg(\()p Fn(@)1449
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1652 V 1357 1736 a Fx(log)c Fq(M)1613 1673 y(N)10 b Fx(\()p
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90 4968 217 4 v 1 w(:)40 b(There)29 b(is)g(1)h(c)m(hoice)h(for)e(the)h
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5341 y(Sum)29 b(the)i(con)m(tributions)d(to)k(get)f(the)g(claim.)2044
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%%Page: 35 35
35 34 bop Black Black Black 90 99 a Fm(Lemma)33 b(3.4.3)p
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423 y(particles)28 b(can)i(b)s(e)e(remo)m(v)m(ed)i(from)f(the)g(four)g
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698 y Ft(D)s(j)25 b Fx(=)2925 662 y Fr(1)p 2925 677 V
2925 729 a(3)2970 698 y Fx(\()p Fq(`)3043 712 y Fo(c)3098
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720 y Fo(c)3346 698 y Fx(\()p Fq(`)3419 712 y Fo(c)3473
698 y Fx(+)g(1\),)31 b(as)90 811 y(claimed)e(in)g(\(1.4.9\).)90
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Fe(\004)p Fx(\).)59 b(Therefore)36 b Ft(S)7 b Fx(\()p
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b Fx(\()p Fe(\003)p Fq(;)15 b Fe(\004)p Fx(\),)90 1451
y(whic)m(h)29 b(is)h(the)g(\014rst)g(part)g(of)g(Theorem)h(1.4.3\(i\).)
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(Theorem)f(1.4.3,)k(w)m(e)d(\014rst)f(pro)m(v)m(e)i(that)g
Ft(G)5 b Fx(\()p Fe(\003)p Fq(;)15 b Fe(\004)p Fx(\))27
b Ft(\023)f(C)3247 1531 y FD(\003)3287 1564 y Fx(.)42
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1790 y Fx(there)i(exists)g(a)h(minimal)c(gate)29 b Ft(W)35
b Fx(con)m(taining)27 b Fq(\021)s Fx(.)40 b(T)-8 b(o)27
b(do)g(so)h(w)m(e)g(\014rst)90 1903 y(need)i(some)h(de\014nitions.)231
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b Fx(b)s(e)e(the)g(con\014guration)f(obtained)g(from)h
Fq(\021)j Fx(b)m(y)d(remo)m(ving)f(the)h(free)h(particle.)90
2129 y(F)-8 b(or)42 b Fq(A)h Ft(\022)g Fx(\003)e(and)f
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3460 y Fx(\026)1811 3483 y Fq(B)1880 3497 y Fo(i)p FD(\000)p
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3483 y Fq(B)2416 3497 y Fo(i)p FD(\000)p Fr(1)2535 3483
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Fq(B)2408 4040 y Fo(i)2436 4026 y Fx(\()7 b(^)-52 b Fq(\021)t
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Black eop
%%Page: 36 36
36 35 bop Black Black 90 99 a Fx(whic)m(h)29 b(implies)f(\(1.4.4\).)43
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211 y(By)g(\(3.1.5\),)j Fy(CAP)854 226 y Fo(\014)901
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Ft(g)1556 979 y Fo(c)1591 1017 y Fq(;)31 b(\034)1687
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955 y Fx(1)p 2620 996 V 2620 1079 a Fq(c)2659 1094 y
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1500 y Ft(Q)39 b Fx(and)f(then)g(through)g Ft(C)1008
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Fo(`)2013 1527 y Fn(c)2046 1519 y FD(\000)p Fr(1\)+2)2296
1500 y Ft(\023)g(S)7 b Fx(\()p Fe(\003)p Fq(;)15 b Fe(\004)p
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1613 y Fx(+)c Fq(\016)34 b Fx(for)c(all)g Fq(\021)e Ft(2)e(S)37
b Fx(and)30 b(some)h Fq(\016)e(>)c Fx(0,)90 1726 y(suc)m(h)30
b(that)966 1839 y Fs(P)1021 1855 y Fd(\003)1096 1839
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1801 y Fo(c)1820 1839 y Fq(;)31 b(\034)1916 1855 y Fd(\004)2000
1839 y Fq(<)25 b(\034)2136 1855 y Fd(\003)2195 1839 y
Fx(\))g Ft(\024)g Fs(P)2406 1855 y Fd(\003)2481 1839
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a Fq(\026)1999 2337 y Fo(\014)2046 2322 y Fx(\()p Fe(\003)p
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2525 504 4 v 1025 2608 a Fq(c)1064 2623 y Fo(\014)1112
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Fo(\021)r Fr(\))2026 2545 y Ft(\024)2361 2484 y Fx(1)p
2132 2525 V 2132 2608 a Fq(c)2171 2623 y Fo(\014)2219
2608 y Fx(\()p Fe(\003)p Fq(;)15 b Ft(X)33 b(n)21 b Fe(\003)p
Fx(\))2660 2545 y Ft(jS)7 b(j)p Fq(e)2814 2508 y FD(\000)p
Fr(\(\000)2940 2484 y Fz(\003)2977 2508 y Fr(+)p Fo(\016)r
Fr(\))p Fo(\014)3141 2545 y Fq(:)3477 2426 y Fx(\(3.5.10\))90
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g(in)f(\(3.5.8\))k(with)c Fq(C)2365 2860 y Fr(2)2429
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Ft(C)1772 2976 y FD(\003)1842 3009 y Fx(where)h(the)h(free)f(particle)g
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b(W)-8 b(rite)305 3280 y Fs(P)360 3297 y Fd(\003)435
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3317 y Fn(@)588 3303 y Fz(\000)641 3317 y(C)677 3303
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3300 y Fo(@)996 3281 y Fz(\000)1049 3300 y FD(C)1090
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3207 y Fp(\001)1417 3280 y Fx(=)1523 3208 y Fs(P)1578
3224 y Fd(\003)1653 3135 y Fp(\000)1694 3208 y Fq(\021)1739
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%%Page: 37 37
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3379 y Fs(P)218 3396 y Fd(\003)293 3306 y Fp(\000)334
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b Ft(2)d Fq(@)3242 3609 y FD(\000)3301 3646 y Ft(C)3354
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%%Page: 38 38
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y Fo(n)3629 785 y Fn(c)3660 777 y FD(\000)p Fr(1)3755
763 y Fx(.)90 876 y(The)e(energy)h(of)g(these)h(con\014gurations)e(is)g
(\000)1666 843 y FD(\003)1728 876 y Ft(\000)23 b Fx(2\001)g(+)g(2)p
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Ft(V)3611 890 y Fo(n)3654 898 y Fn(c)3686 890 y FD(\000)p
Fr(1)90 989 y Fx(ha)m(v)m(e)i(energy)g(at)g(least)f(\000)986
956 y FD(\003)1048 989 y Ft(\000)23 b Fx(2\001)g(+)f(3)p
Fq(U)42 b(>)32 b Fx(\000)1688 956 y FD(\003)1750 989
y Ft(\000)22 b Fx(\001)34 b(and)g(therefore)g(do)g(not)h(p)s(ermit)d
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(energy)g(\000)1521 1068 y FD(\003)1561 1101 y Fx(.)44
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1457 y FD(\003)2797 1490 y Fx(,)h(analogous)g(to)h(the)f(one)g(in)90
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Ft(C)3546 1570 y Fo(B)3634 1603 y Fx(and)90 1716 y Ft(C)143
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2154 y(\(ii\))33 b Fy(CR)p Fx(\()7 b(^)-52 b Fq(\021)s
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2168 y Fo(c)2189 2154 y Ft(e)p Fv(.)90 2367 y Fm(Pro)s(of.)58
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b Fq(\021)t Fx(\))26 b(=)f Fy(CR)p Fx(\()7 b(^)-52 b
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2985 y(with)e(a)i(1-protub)s(erance)g(attac)m(hed)i(to)e(it.)41
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b(^)-52 b Fq(\021)t Fx(\),)32 b(then)f(it)g(is)f(clear)i(that)g(these)g
(\\t)m(w)m(o-dimensional)e(con\014gurations)h(on)90 3211
y(a)i(face")g(m)m(ust)f(minimize)e(their)h(energy)-8
b(.)47 b(Ob)m(viously)-8 b(,)32 b(none)g(of)g(them)g(can)h(ha)m(v)m(e)g
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3437 y(protub)s(erance)27 b(\(whic)m(h)g(pa)m(ys)h(3)p
Fq(U)10 b Fx(\))28 b(w)m(ould)e(lead)i(to)g(a)g(lo)m(w)m(ering)f(of)h
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e(1-protub)s(erance)i(\(whic)m(h)e(costs)j(2)p Fq(U)10
b Fx(\))31 b(and)f(mo)m(ving)g(it)g(in)m(to)h(a)90 3776
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(elo)m(w)h(\(3.4.1\).)90 4495 y Fw(References)p Black
135 4698 a Fx([1])p Black 47 w(L.)f(Alonso)f(and)h(R.)g(Cerf,)f(The)h
(three-dimensional)d(p)s(oly)m(omino)s(es)i(of)h(minimal)d(area,)k
(Electron.)f(J.)277 4811 y(Com)m(bin.)g(3)i(\(1996\))i(Researc)m(h)e(P)
m(ap)s(er)f(27.)p Black 135 4996 a([2])p Black 47 w(M.)h(v)-5
b(an)30 b(den)g(Berg,)h(Exit)f(and)g(return)f(of)h(a)h(simple)e(random)
g(w)m(alk,)h(preprin)m(t)f(2003.)p Black 135 5181 a([3])p
Black 47 w(A.)h(Bo)m(vier,)h(Metastabilit)m(y)f(and)f(ageing)h(in)f
(sto)s(c)m(hastic)h(dynamics,)f(in:)39 b Fv(Dynamics)33
b(and)g(R)-5 b(andom-)277 5294 y(ness)31 b(II,)g(Santiago)i(de)f
(Chile,)f(2002)43 b Fx(\(eds.)30 b(A.)f(Maas,)h(S.)f(Martinez)g(and)g
(J.)f(San)h(Martin\),)g(Klu)m(w)m(er)277 5407 y(Ac.)i(Publ.,)e(Dordrec)
m(h)m(t,)j(in)d(press.)p Black 1890 5656 a(39)p Black
eop
%%Page: 40 40
40 39 bop Black Black Black 135 99 a Fx([4])p Black 47
w(G.)27 b(Ben)h(Arous)e(and)h(R.)g(Cerf,)g(Metastabilit)m(y)g(of)g(the)
h(three-dimensional)c(Ising)i(mo)s(del)g(on)h(a)g(torus)277
211 y(at)k(v)m(ery)g(lo)m(w)f(temp)s(erature,)g(Electron.)h(J.)f
(Probab.)g(1)h(\(1996\))i(Researc)m(h)e(P)m(ap)s(er)f(10.)p
Black 135 399 a([5])p Black 47 w(A.)e(Bo)m(vier,)h(M.)g(Ec)m(kho\013,)g
(V.)f(Ga)m(yrard,)h(and)f(M.)g(Klein,)f(Metastabilit)m(y)h(and)f(lo)m
(w)h(lying)e(sp)s(ectra)i(in)277 512 y(rev)m(ersible)h(Mark)m(o)m(v)j
(c)m(hains,)e(Comm)m(un.)g(Math.)h(Ph)m(ys.)f(228)i(\(2002\))h
(219{255.)p Black 135 700 a([6])p Black 47 w(A.)23 b(Bo)m(vier)f(and)g
(F.)h(Manzo,)i(Metastabilit)m(y)d(in)f(Glaub)s(er)g(dynamics)g(in)g
(the)i(lo)m(w-temp)s(erature)f(limit:)277 812 y(b)s(ey)m(ond)30
b(exp)s(onen)m(tial)f(asymptotics,)i(J.)f(Stat.)h(Ph)m(ys.)f(107)i
(\(2002\))h(757{779.)p Black 135 1000 a([7])p Black 47
w(F.)g(den)f(Hollander,)g(Metastabilit)m(y)g(under)f(sto)s(c)m(hastic)j
(dynamics,)e(EURANDOM)h(rep)s(ort)f(2004{)277 1113 y(007.)g(In)m(vited)
d(pap)s(er,)h(to)h(app)s(ear)f(in)f(Sto)s(c)m(h.)i(Pro)s(c.)f(Appl.)p
Black 135 1301 a([8])p Black 47 w(F.)38 b(den)f(Hollander,)h(F.R.)h
(Nardi,)f(E.)g(Olivieri,)f(and)g(E.)g(Scopp)s(ola,)i(Droplet)f(gro)m
(wth)g(for)f(three-)277 1414 y(dimensional)27 b(Ka)m(w)m(asaki)k
(dynamics,)f(Probab.)g(Theory)g(Relat.)h(Fields)d(125)k(\(2003\))h
(153{194.)p Black 135 1601 a([9])p Black 47 w(F.)f(den)e(Hollander,)g
(E.)h(Olivieri,)e(and)h(E.)h(Scopp)s(ola,)g(Metastabilit)m(y)g(and)g(n)
m(ucleation)g(for)f(conser-)277 1714 y(v)-5 b(ativ)m(e)31
b(dynamics,)e(J.)i(Math.)g(Ph)m(ys.)f(41)h(\(2000\))i(1424{1498.)p
Black 90 1902 a([10])p Black 47 w(F.)27 b(Manzo,)h(F.R.)f(Nardi,)f(E.)h
(Olivieri,)d(and)h(E.)i(Scopp)s(ola,)f(On)g(the)g(essen)m(tial)g
(features)h(of)f(metasta-)277 2015 y(bilit)m(y:)39 b(tunnelling)27
b(time)j(and)g(critical)f(con\014gurations,)h(J.)g(Stat.)h(Ph)m(ys.)g
(115)g(\(2004\))i(591{642.)p Black 90 2202 a([11])p Black
47 w(E.J.)h(Nev)m(es)h(and)f(R.H.)h(Sc)m(honmann,)f(Critical)f
(droplets)g(and)g(metastabilit)m(y)h(for)g(a)g(Glaub)s(er)f(dy-)277
2315 y(namics)c(at)j(v)m(ery)e(lo)m(w)g(temp)s(erature,)h(Comm)m(un.)f
(Math.)h(Ph)m(ys.)f(137)i(\(1991\))g(209{230.)p Black
90 2503 a([12])p Black 47 w(P)-8 b(.)32 b(R)m(\023)-43
b(ev)m(\023)g(esz,)34 b Fv(R)-5 b(andom)36 b(Walk)e(in)g(R)-5
b(andom)35 b(and)g(Non-R)-5 b(andom)36 b(Envir)-5 b(onments)p
Fx(,)33 b(W)-8 b(orld)31 b(Scien)m(ti\014c,)277 2616
y(Singap)s(ore,)e(1990.)p Black 1890 5656 a(40)p Black
eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF