54. 
Finitary random interlacements and the
GaboriauLyons problem 
arXiv  
53. 
All properly ergodic Markov chains over a
free group are orbit equivalent 
submitted 
arXiv 

52. 
The space of stable weak equivalence
classes of measurepreserving actions 
with Robin TuckerDrob  submitted 
arXiv 
51. 
Examples in the entropy theory of countable
group actions 
submitted 
arXiv 

50. 
Invariant random subgroups of semidirect
products 
with Ian Biringer
and Omer
Tamuz 
submitted  arXix 
49. 
Zero entropy is generic 
Entropy 18 (2016), no. 6, Paper No. 220, 20 pp.  arXiv 

48. 
Integrable orbit equivalence rigidity for free groups  to appear in Israel J. of Math.  arXiv 

47. 
Hyperbolic geometry and pointwise ergodic
theorems 
with Amos Nevo  submitted 
arXiv 
46. 
von Neumann's problem and extensions of
nonamenable equivalence relations 
with Daniel Hoff
and Adrian
Ioana 
submitted 
arXiv 
45. 
Simple and large equivalence relations  Proc. Amer. Math. Soc. 145 (2017), no. 1, 215–224  arXiv 

44. 
Equivalence relations that act on bundles
of hyperbolic spaces 
to appear in Ergodic Theory and Dynamical
Systems 
arXiv 

43. 
Mean convergence of Markovian spherical
averages for measurepreserving actions of the free group

with Alexander Bufetov
and Olga
Romaskevich 
Geom.
Dedicata 181 (2016), 293–306 
arXiv 
42. 
Property (T) and the Furstenberg entropy of
nonsingular actions 
with Yair Hartman and Omer Tamuz  Proc.
Amer. Math. Soc. 144 (2016), no. 1, 31–39. 
arXiv 
41. 
Generic stationary measures and actions 
with Yair Hartman and Omer Tamuz  to appear in Transactions of the AMS  arXiv 
40. 
Characteristic random subgroups of
geometric groups and free abelian groups of infinite rank

with Rostislav Grigorchuk and Rostyslav Kravchenko  Trans. Amer. Math. Soc. 369 (2017), no. 2, 755–781.  arXiv 
39. 
L1measure equivalence and group growth (Appendix to: Integrable measure equivalence for groups of polynomial growth by Tim Austin) 
Groups Geom. Dyn. 10 (2016), no. 1, 117–154.  arXiv 

38. 
Weak density of orbit equivalence classes of free group actions  Groups Geom. Dyn. 9 (2015), no. 3, 811–830.  arXiv 

37. 
Cheeger constants and L2Betti numbers 
Duke
Math. J. 164 (2015), no. 3, 569–615. 
arXiv 

36. 
vonNeumann and Birkhoff ergodic theorems
for negatively curved groups 
with Amos Nevo  Ann. Sci. Éc. Norm. Supér. (4) 48 (2015),
no. 5, 1113–1147 
arXiv 
35. 
Amenable equivalence relations and the
construction of ergodic averages for group actions 
with Amos Nevo  J. Anal. Math. 126 (2015), 359–388.  arXiv 
34. 
Entropy theory for sofic groupoids I: the
foundations 
Journal d'Analyse Mathématique October 2014, Volume 124, Issue 1, pp 149233.  arXiv 

33. 
The type and stable type of the boundary of
a Gromov hyperbolic group 
Geometriae
Dedicata, October 2014, Volume 172, Issue 1, pp
363386. 
arXiv 

32. 
A horospherical ratio
ergodic theorem for actions of free groups 
with Amos Nevo 
Groups
Geom. Dyn. 8(2):331353, 2014.

arXiv 
31. 
Invariant random subgroups
of lamplighter groups (new version
as of Sept 2, 2013) 
with Rostislav
Grigorchuk and Rostyslav
Kravchenko 
Israel J. Math. 207 (2015), no. 2, 763–782.  arXiv 
30. 
Invariant random subgroups
of the free group 
Groups
Geom. Dyn. 9 (2015), no. 3, 891–916. 
arXiv 

29. 
A Juzvinskiĭ Addition
Theorem for Finitely Generated Free Group Actions 
with Yonatan Gutman 
Ergodic Theory Dynam. Systems 34 (2014), no. 1, 95–109.  arXiv 
28. 
Harmonic models and
spanning forests of residually finite groups 
with Hanfeng Li 
J.
Funct. Anal. 263, no. 7, (2012), 17691808 
arXiv 
27. 
On a coinduction question
of Kechris 
with Robin TuckerDrob  Israel
J. of Math. March 2013, Volume 194, Issue 1, pp 209224 
arXiv 
26. 
Random walks on coset
spaces with applications to Furstenberg entropy 
Invent.
Math. Volume 196, Issue 2 (2014), Page 485510 
arXiv 

25. 
Pointwise ergodic theorems
beyond amenable groups 
with Amos Nevo 
Ergod.
Th. and Dynam. Sys. (2013), 33, 777820 
arXiv 
24. 
Geometric covering
arguments and ergodic theorems for free groups 
with Amos Nevo  L’Enseignement
Mathématique, Volume 59, Issue 1/2, 2013, pp. 133164 
arXiv 
23. 
Every countably infinite
group is almost Ornstein 
Dynamical
systems and group actions, 67–78, Contemp. Math., 567,
Amer. Math. Soc., Providence, RI, 2012. 
arXiv 

22. 
Sofic entropy and amenable
groups 
Ergodic Theory Dynam. Systems 32 (2012), no. 2, 427–466  arXiv 

21. 
Stable orbit equivalence of
Bernoulli shifts over free groups 
Groups Geom. Dyn. 5 (2011), no. 1, 17–38.  arXiv 

20. 
Orbit equivalence,
coinduced actions and free products 
Groups Geom. Dyn. 5 (2011), no. 1, 1–15.  arXiv 

19. 
Entropy for expansive
algebraic actions of residually finite groups 
Ergodic Theory Dynam. Systems. 31 (2011), no. 3, 703718.  arXiv 

18. 
Weak isomorphisms between
Bernoulli shifts 
Israel
J. of Math, (2011) Volume 183, Number 1, 93102 
arXiv 

17. 
Nonabelian
free
group actions: Markov processes, the AbramovRohlin
formula and Yuzvinskii's formula 
Ergodic
Theory
Dynam. Systems 30 (2010), no. 6, 16291663. 
arXiv 

Corrigendum 
with Yonatan Gutman  Ergodic Theory and Dynam. Systems 33 Issue 02 / April 2013, pp 643  645  arXiv  
16. 
The
ergodic theory of free group actions: entropy and the
finvariant. 
Groups Geom. Dyn. 4 (2010), no. 3, 419432  arXiv 

15. 
A
new measure conjugacy invariant for actions of free groups 
Ann. of Math., vol. 171 (2010), No. 2, 13871400.  arXiv 

14. 
Measure
conjugacy
invariants for actions of countable sofic groups 
J. Amer. Math. Soc., 23 (2010), 217245.  arXiv 

13. 
Invariant
measures
on the space of horofunctions of a word hyperbolic group 
Ergodic Theory Dynam. Systems. 30 (2010), no. 1, 97129.  arXiv 

12. 
Free
groups
in lattices 
Geometry & Topology, 13, (2009), 30213054.  arXiv 

11. 
A
generalization of the prime geodesic theorem to counting
conjugacy classes of free subgroups 
Geom. Dedicata, 124, (2007), 3767.  arXiv 

10. 
A
Solidification Phenomenon in Random Packings 
with Russell Lyons, Charles Radin and Peter Winkler  SIAM J. Math. Anal. 38 (2006), no. 4, 10751089.  
9. 
Fluid/Solid
Transition
in a HardCore System 
with Russell Lyons, Charles Radin and Peter Winkler  Phys. Rev. Lett. 96, 025701 (2006)  
8. 
Uniqueness
and
symmetry in problems of optimally dense packings 
with Charles Holton, Charles Radin and Lorenzo Sadun  Math. Phys. Electron. J. 11 (2005), Paper 1, 34 pp.  arXiv 
7. 
On
the Gromov Norm of the Product of Two Surfaces 
with Mike Develin, Jesus De Loera and Francisco Santos  Topology 44 (2005), no. 2, 321339. erratum: Topology 47 (2008), no. 6, 471472.  arXiv 
6. 
Couplings
of
Uniform Spanning Forests 
Proc. Amer. Math. Soc. 132 (2004), no. 7, 21512158.  arXiv 

5. 
Optimally
Dense
Packings of Hyperbolic Space 
with Charles Radin  Geom. Dedicata 104 (2004), 3759.  arXiv 
4. 
On
the existence of completely saturated packings and
completely reduced coverings 
Geom. Dedicata 98 (2003), 211226.  arXiv 

3. 
Densest
Packing
of Equal Spheres in Hyperbolic Space 
with Charles
Radin 
Discrete Comput. Geom. 29 (2003), no. 1, 2339.  
2. 
Periodicity
and
Circle Packing in the Hyperbolic Plane 
Geom. Dedicata 102 (2003), 213236.  arXiv 

1. 
Circle
Packing
in Hyperbolic Space 
Math. Phys. Electron. J. 6 (2000), Paper 6, 10 pp. (electronic). 