Return time statistics for invariant measures for interval maps with positive Lyapunov exponent
| dc.creator | Bruin, Henk | |
| dc.creator | Todd, Mike | |
| dc.date | 2007-08-02 | |
| dc.date | 2009-04-20 | |
| dc.date.accessioned | 2026-07-07T13:05:24Z | |
| dc.date.available | 2026-07-07T13:05:24Z | |
| dc.description | We prove that multimodal maps with an absolutely continuous invariant measure have exponential return time statistics around a.e. point. We also show a `polynomial Gibbs property' for these systems, and that the convergence to the entropy in the Ornstein-Weiss formula has normal fluctuations. These results are also proved for equilibrium states of some Hoelder potentials. | |
| dc.description | Proof of Proposition 5 simplified | |
| dc.identifier | https://arxiv.org/abs/0708.0379 | |
| dc.identifier | http://arxiv.org/abs/0708.0379 | |
| dc.identifier | Stoch. Dyn. 9 (2009) 81-100 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227476 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37E05, 37A05, 37B20, 37D25 | |
| dc.title | Return time statistics for invariant measures for interval maps with positive Lyapunov exponent | |
| dc.type | text |