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math.GR2023
Ratio-limit boundaries for random walks on relatively hyperbolic groups
Adam Dor-On, Matthieu Dussaule, Ilya Gekhtman
We study boundaries arising from limits of ratios of transition probabilities for random walks on relatively hyperbolic groups. We extend, as well as determine significant limitati…
math.GR2023
Stationary random subgroups in negative curvature
Ilya Gekhtman, Arie Levit
We show that discrete stationary random subgroups of isometry groups of Gromov hyperbolic spaces have full limit sets as well as critical exponents bounded from below. This informa…