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- W2726778920 abstract "Let $Gamma$ be a non-elementary Gromov-hyperbolic group, and $partial Gamma$ denote its Gromov boundary. We consider $Gamma$-invariant proper $delta$-hyperbolic, quasi-convex metric $d$ on $Gamma$, and the associated Patterson-Sullivan measure class $[nu]$ on $partial^{(2)}Gamma$, and its square $[nutimesnu]$ on $partial^{(2)}Gamma$ -- the space of distinct pairs of points on the boundary. We construct an analogue of a geodesic flow to study ergodicity properties of the $Gamma$-actions on $(partialGamma,nu)$ and on $(partial^{(2)}Gamma,[nutimesnu])$." @default.
- W2726778920 created "2017-07-14" @default.
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- W2726778920 date "2017-07-07" @default.
- W2726778920 modified "2023-09-23" @default.
- W2726778920 title "Some ergodic properties of metrics on hyperbolic groups" @default.
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