Dimension and waiting time in rapidly mixing systems
| dc.creator | Galatolo, S. | |
| dc.date | 2006-11-29 | |
| dc.date | 2008-04-13 | |
| dc.date.accessioned | 2026-07-07T09:32:05Z | |
| dc.date.available | 2026-07-07T09:32:05Z | |
| dc.description | We prove that if a system has superpolynomial (faster than any power law) decay of correlations then the time $τ_{r}(x,x_{0})$ needed for a typical point $x$ to enter for the first time a ball $B(x_{0},r)$ centered in $x_{0},$ with small radius $r$ scales as the local dimension at $x_{0},$ i.e. $$\underset{r\to 0}{\lim}\frac{\log τ_{r}(x,x_{0})}{-\log r}=d_{μ}(x_{0}).$$ | |
| dc.description | Revised version, very similar to the one is published | |
| dc.identifier | https://arxiv.org/abs/math/0611911 | |
| dc.identifier | http://arxiv.org/abs/math/0611911 | |
| dc.identifier | Math. Res. Lett. (2007) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158687 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37A25, 37C45 | |
| dc.title | Dimension and waiting time in rapidly mixing systems | |
| dc.type | text |