On almost-sure versions of classical limit theorems for dynamical systems
| dc.creator | Chazottes, J-R | |
| dc.creator | Gouezel, S | |
| dc.date | 2006-01-16 | |
| dc.date | 2006-06-30 | |
| dc.date.accessioned | 2026-07-07T06:58:58Z | |
| dc.date.available | 2026-07-07T06:58:58Z | |
| dc.description | The purpose of this article is to construct a toolbox, in Dynamical Systems, to support the idea that ``whenever we can prove a limit theorem in the classical sense for a dynamical system, we can prove a suitable almost-sure version based on an empirical measure with log-average''. We follow three different approaches: martingale methods, spectral methods and induction arguments. Our results apply among others to Axiom A maps or flows, to systems inducing a Gibbs-Markov map and to the stadium billiard. | |
| dc.description | 41 pages; submitted v2: replaced the argument for Gibbs-Markov maps with a general spectral argument | |
| dc.identifier | https://arxiv.org/abs/math/0601388 | |
| dc.identifier | http://arxiv.org/abs/math/0601388 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107574 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Probability | |
| dc.title | On almost-sure versions of classical limit theorems for dynamical systems | |
| dc.type | text |