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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: liverani@mat.uniroma2.it)
BENOÎT SAUSSOL
Affiliation:
Centre de Physique Théorique, CNR's, Luminy Case 907, 13288 Marseilles, France (e-mail: saussol@cptsg3.univ-mrs.fr) and PhyMat, University of Toulon, BP 132, 83957 La Garde Cedex, France (e-mail: vaienti@cptsg2.univ-mrs.fr)
SANDRO VAIENTI
Affiliation:
Centre de Physique Théorique, CNR's, Luminy Case 907, 13288 Marseilles, France (e-mail: saussol@cptsg3.univ-mrs.fr) and PhyMat, University of Toulon, BP 132, 83957 La Garde Cedex, France (e-mail: vaienti@cptsg2.univ-mrs.fr)
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Abstract

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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.

Information

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