Central limit theorem and stable laws for intermittent maps
| dc.creator | Gouezel, Sebastien | |
| dc.date | 2002-11-06 | |
| dc.date | 2002-12-06 | |
| dc.date.accessioned | 2026-07-07T04:52:44Z | |
| dc.date.available | 2026-07-07T04:52:44Z | |
| dc.description | In the setting of abstract Markov maps, we prove results concerning the convergence of renormalized Birkhoff sums to normal laws or stable laws. They apply to one-dimensional maps with a neutral fixed point at 0 of the form $x+x^{1+α}$, for $α\in (0,1)$. In particular, for $α>1/2$, we show that the Birkhoff sums of a Hölder observable $f$ converge to a normal law or a stable law, depending on whether $f(0)=0$ or $f(0)\not=0$. The proof uses spectral techniques introduced by Sarig, and Wiener's Lemma in noncommutative Banach algebras. | |
| dc.description | 42 pages | |
| dc.identifier | https://arxiv.org/abs/math/0211117 | |
| dc.identifier | http://arxiv.org/abs/math/0211117 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65576 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37A30, 37A50, 37C30, 37E05, 47A56, 60F05 | |
| dc.title | Central limit theorem and stable laws for intermittent maps | |
| dc.type | text |