42 citations · 66 across the 18 of their papers we have counts for
5 papers · 1 filter
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…
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.
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…
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…