42 citations · 66 across the 18 of their papers we have counts for
20 papers
Liouville property and Poisson boundary of random walks with infinite entropy: what's amiss?
Vadim Kaimanovich
We discuss the qualitatively new properties of random walks on groups that arise in the situation when the entropy of the step distribution is infinite.
Singularity of compound stationary measures
Behrang Forghani, Vadim Kaimanovich
We show that the product or convex combination of two Markov operators with equivalent stationary measures need not have a stationary measure from the same measure class. More spec…
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…
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…
Arboreal structures on groups and the associated boundaries
Anna Erschler, Vadim Kaimanovich
For any countable group with infinite conjugacy classes we construct a family of forests on the group. For each of them there is a random walk on the group with the property that i…
Circular slider graphs: de Bruijn, Kautz, Rauzy, lamplighters and spiders
Vadim A. Kaimanovich
We suggest a new point of view on de Bruijn graphs and their subgraphs based on using circular words rather than linear ones.