42 citations · 66 across the 18 of their papers we have counts for
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math.FA2020
Amenability of groupoids and asymptotic invariance of convolution powers
Theo Bühler, Vadim A. Kaimanovich
The original definition of amenability given by von Neumann in the highly non-constructive terms of means was later recast by Day using approximately invariant probability measures…
math.FA2004
Boundary amenability of hyperbolic spaces
Vadim A. Kaimanovich
It is well-known that a Kleinian group is amenable if and only if it is elementary. We establish an analogous property for equivalence relations and foliations with Gromov hyperbol…
math.FA2004
Amenability and the Liouville property
Vadim A. Kaimanovich
We present a new approach to the amenability of groupoids (both in the measure theoretical and the topological setups) based on using Markov operators. We introduce the notion of a…