A limit theorem for a random walk in a stationary scenery coming from a hyperbolic dynamical system
| dc.creator | Pene, Francoise | |
| dc.date | 2006-01-30 | |
| dc.date.accessioned | 2026-07-07T06:59:29Z | |
| dc.date.available | 2026-07-07T06:59:29Z | |
| dc.description | In this paper, we extend a result of Kesten and Spitzer (1979). Let us consider a stationary sequence $(ξ\_k:=f(T^k(.)))\_k$ given by an invertible probability dynamical system and some centered function $f$. Let $(S\_n)\_n$ be a simple symmetric random walk on $Z$ independent of $(ξ\_k)\_k$. We give examples of partially hyperbolic dynamical systems and of functions $f$ such that $n^{-3/4}(ξ(S\_1)+...+ξ(S\_k))$ converges in distribution as $n$ goes to infinity. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601735 | |
| dc.identifier | http://arxiv.org/abs/math/0601735 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107765 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 60F99; 37D30; 37D50 | |
| dc.title | A limit theorem for a random walk in a stationary scenery coming from a hyperbolic dynamical system | |
| dc.type | text |