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math.DS2025
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.
math.DS2025
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…