42 citations · 66 across the 18 of their papers we have counts for
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math.PR2009★ 5 cited
Stochastic homogenization of horospheric tree products
Vadim A. Kaimanovich, Florian Sobieczky
We construct measures invariant with respect to equivalence relations which are graphed by horospheric products of trees. The construction is based on using conformal systems of bo…
math.GR2009
Self-similarity and random walks
Vadim A. Kaimanovich
This is an introductory level survey of some topics from a new branch of fractal analysis -- the theory of self-similar groups. We discuss recent works on random walks on self-simi…
math.GR2009★ 4 cited
Ergodic properties of boundary actions and Nielsen--Schreier theory
Rostislav Grigorchuk, Vadim A. Kaimanovich, Tatiana Nagnibeda
We study the basic ergodic properties (ergodicity and conservativity) of the action of an arbitrary subgroup of a free group on the boundary with respect to th…