3 citations · 3 across the 4 of their papers we have counts for
5 papers
The Subadditive Ergodic Theorem and generic stretching factors for free group automorphisms
Vadim Kaimanovich, Ilya Kapovich, Paul Schupp
Given a free group of rank with a fixed set of free generators we associate to any homomorphism from to a group with a left-invariant semi-norm a gener…
Boundaries and harmonic functions for random walks with random transition probabilities
Vadim A. Kaimanovich, Yuri Kifer, Ben-Zion Rubshtein
The usual random walk on a group (homogeneous both in time and in space) is determined by a probability measure on the group. In a random walk with random transition probabilities…
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…
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…
The Poisson formula for groups with hyperbolic properties
Vadim A. Kaimanovich
The Poisson boundary of a group G with a probability measure μis the space of ergodic components of the time shift in the path space of the associated random walk. Via a generaliza…