 1459 Paul Federbush
 Asymptotic Behavior of the Expectation Value of Permanent Products
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Jul 23, 14

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Abstract. We would desire to have done the calculations of this paper in the
measure on nxn matrices that weights uniformly all 01 matrices with
row and column sum equal to r, other matrices given weight zero. Instead
we work with all matrices that are the sum of r independent uniformly
weighted permutation matrices, with the hope that the computations we
perform give the same result in this measure. We derive the result for
limiting expectations
lim (1/n)ln(E(perm_m(A) perm_m'(A))) =lim (1/n)ln(E(perm_m(A)))+
+lim (1/n)ln(E(perm_m'(A)))
Here the limit is n to infinity, r is fixed, and m and m' are taken as
each proportional to n.
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