STATISTICAL PROPERTIES OF A NONUNIFORMLY HYPERBOLIC MAP OF THE INTERVAL

Authors
LAMBERT A SIBONI S VAIENTI S
Citation
A. Lambert et al., STATISTICAL PROPERTIES OF A NONUNIFORMLY HYPERBOLIC MAP OF THE INTERVAL, Journal of statistical physics, 72(5-6), 1993, pp. 1305-1330
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
72
Issue
5-6
Year of publication
1993
Pages
1305 - 1330
Database
ISI
SICI code
0022-4715(1993)72:5-6<1305:SPOANH>2.0.ZU;2-I
Abstract
We prove a power-law upper bound for the decay of the correlations for Holder observables in the case of a nonuniformly hyperbolic map of th e interval introduced by Gaspard and Wang as a piecewise linear approx imation of the intermittent map of Manneville-Pomeau. The result is th en applied to compute the Central Limit Theorem for the same class of observables.