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- W2964333896 abstract "Abstract Let G be a countable group which acts by isometries on a separable, but not necessarily proper, Gromov hyperbolic space X . We say the action of G is weakly hyperbolic if G contains two independent hyperbolic isometries. We show that a random walk on such G converges to the Gromov boundary almost surely. We apply the convergence result to show linear progress and linear growth of translation length, without any assumptions on the moments of the random walk. If the action is acylindrical, and the random walk has finite entropy and finite logarithmic moment, we show that the Gromov boundary with the hitting measure is the Poisson boundary." @default.
- W2964333896 created "2019-07-30" @default.
- W2964333896 creator A5039880499 @default.
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- W2964333896 date "2016-01-14" @default.
- W2964333896 modified "2023-10-09" @default.
- W2964333896 title "Random walks on weakly hyperbolic groups" @default.
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- W2964333896 doi "https://doi.org/10.1515/crelle-2015-0076" @default.
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