Hopf decomposition and horospheric limit sets
| dc.creator | Kaimanovich, Vadim A. | |
| dc.date | 2008-07-07 | |
| dc.date.accessioned | 2026-07-07T09:48:48Z | |
| dc.date.available | 2026-07-07T09:48:48Z | |
| dc.description | By looking at the relationship between the recurrence properties of a countable group action with a quasi-invariant measure and the structure of its ergodic components we establish a simple general description of the Hopf decomposition of the action into the conservative and the dissipative parts in terms of the Radon--Nikodym derivatives of the action. As an application we prove that the conservative part of the boundary action of a discrete group of isometries of a Gromov hyperbolic space with respect to any invariant quasi-conformal stream coincides (mod 0) with the big horospheric limit set of the group. | |
| dc.identifier | https://arxiv.org/abs/0807.0995 | |
| dc.identifier | http://arxiv.org/abs/0807.0995 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164348 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37A20, 22F10, 28D99, 30F40, 53C20 | |
| dc.title | Hopf decomposition and horospheric limit sets | |
| dc.type | text |