Decay of correlations for non-Holder observables
| dc.creator | Lynch, Vincent | |
| dc.date | 2004-01-30 | |
| dc.date.accessioned | 2026-07-07T05:04:58Z | |
| dc.date.available | 2026-07-07T05:04:58Z | |
| dc.description | We consider the general question of estimating decay of correlations for non-uniformly expanding maps, for classes of observables which are much larger than the usual class of Holder continuous functions. Our results give new estimates for many non-uniformly expanding systems, including Manneville-Pomeau maps, many one-dimensional systems with critical points, and Viana maps. In many situations, we also obtain a Central Limit Theorem for a much larger class of observables than usual. Our main tool is an extension of the coupling method introduced by L.-S. Young for estimating rates of mixing on certain non-uniformly expanding tower maps. | |
| dc.description | 34 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0401432 | |
| dc.identifier | http://arxiv.org/abs/math/0401432 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70015 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37A25 | |
| dc.title | Decay of correlations for non-Holder observables | |
| dc.type | text |