42 citations · 66 across the 18 of their papers we have counts for
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math.PR2008★ 1 cited
Matrix random products with singular harmonic measure
Vadim A. Kaimanovich, Vincent Le Prince
Any Zariski dense countable subgroup of is shown to carry a non-degenerate finitely supported symmetric random walk such that its harmonic measure on the flag space is si…
math.DS2008
Hopf decomposition and horospheric limit sets
Vadim A. Kaimanovich
By looking at the relationship between the recurrence properties of a countable group action with a quasi-invariant measure and the structure of its ergodic components we establish…
math.GR2008★ 42 cited
On amenability of automata groups
Laurent Bartholdi, Vadim A. Kaimanovich, Volodymyr V. Nekrashevych
We show that the group of bounded automatic automorphisms of a rooted tree is amenable, which implies amenability of numerous classes of groups generated by finite automata. The pr…