Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-26T14:14:57.814Z Has data issue: false hasContentIssue false
  • English
  • Français

A probabilistic approach to intermittency

Published online by Cambridge University Press:  01 June 1999

CARLANGELO LIVERANI ,
BENOÎT SAUSSOL  and
SANDRO VAIENTI
CARLANGELO LIVERANI
Affiliation:
Mathematics Department, University of Rome II, Tor Vergata, 00133 Rome, Italy (e-mail: [email protected])
BENOÎT SAUSSOL
Affiliation:
Centre de Physique Théorique, CNR's, Luminy Case 907, 13288 Marseilles, France (e-mail: [email protected]) and PhyMat, University of Toulon, BP 132, 83957 La Garde Cedex, France (e-mail: [email protected])
SANDRO VAIENTI
Affiliation:
Centre de Physique Théorique, CNR's, Luminy Case 907, 13288 Marseilles, France (e-mail: [email protected]) and PhyMat, University of Toulon, BP 132, 83957 La Garde Cedex, France (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We present an original approach which allows us to investigate the statistical properties of a non-uniformly hyperbolic map on the interval. Based on a stochastic approximation of the deterministic map, this method essentially gives the optimal polynomial bound for the decay of correlations, the degree depending on the order of the tangency at the neutral fixed point.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 3 , June 1999 , pp. 671 - 685
Copyright
1999 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)