42 citations · 66 across the 18 of their papers we have counts for
6 papers · 1 filter
Limit distributions of branching Markov chains
Vadim A. Kaimanovich, Wolfgang Woess
We study branching Markov chains on a countable state space (space of types) , with the focus on the qualitative aspects of the limit behaviour of the evolving empiric…
Invariance, quasi-invariance and unimodularity for random graphs
Vadim A. Kaimanovich
We interpret the probabilistic notion of unimodularity for measures on the space of rooted locally finite connected graphs in terms of the theory of measured equivalence relations.…
Random walks on random horospheric products
Vadim A. Kaimanovich, Florian Sobieczky
By developing the entropy theory of random walks on equivalence relations and analyzing the asymptotic geometry of horospheric products we describe the Poisson boundary for random…
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…
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…
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…