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- W995510778 abstract "We show under weak hypotheses that $partial X$, the Roller boundary of a finite dimensional CAT(0) cube complex $X$ is the Furstenberg-Poisson boundary of a sufficiently nice random walk on an acting group $Gamma$. In particular, we show that if $Gamma$ admits a nonelementary proper action on $X$, and $mu$ is a generating probability measure of finite entropy and finite first logarithmic moment, then there is a $mu$-stationary measure on $partial X$ making it the Furstenberg-Poisson boundary for the $mu$-random walk on $Gamma$. We also show that the support is contained in the closure of the regular points. Regular points exhibit strong contracting properties." @default.
- W995510778 created "2016-06-24" @default.
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- W995510778 date "2015-07-20" @default.
- W995510778 modified "2023-09-27" @default.
- W995510778 title "The Furstenberg Poisson Boundary and CAT(0) Cube Complexes" @default.
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