ESTIMATES TO CORRELATION DECAY IN DISCRETE DYNAMICAL-SYSTEMS BY SPECTRAL METHODS

Authors
BRINI F SIBONI S
Citation
F. Brini et S. Siboni, ESTIMATES TO CORRELATION DECAY IN DISCRETE DYNAMICAL-SYSTEMS BY SPECTRAL METHODS, Journal of physics. A, mathematical and general, 31(2), 1998, pp. 639-656
Citations number
34
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
2
Year of publication
1998
Pages
639 - 656
Database
ISI
SICI code
0305-4470(1998)31:2<639:ETCDID>2.0.ZU;2-V
Abstract
We discuss the use of spectral methods to estimate the decay of correl ations of observables in discrete dynamical systems. Some abstract res ults are stated and applied to the analysis of correlation decay for s mooth and analytic observables considered on a particular class of ske w-endomorphisms of the 2-torus. General superexponential estimates to correlation decay are also established for the algebraic automorphisms and endomorphisms of the n-torus, whenever hyperbolic or purely expan ding conditions occur.