Decay of correlations for non-Hölder observables for one-dimensional expanding Lorenz-like maps

Karla Díaz-Ordaz

doi:10.3934/dcds.2006.15.159

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2006, Volume 15, Issue 1: 159-176. Doi: 10.3934/dcds.2006.15.159

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Decay of correlations for non-Hölder observables for one-dimensional expanding Lorenz-like maps

Karla Díaz-Ordaz^1,

1.
Mathematics Department, Imperial College, 180 Queen's Gate, SW7 2AZ, London

Received: September 30, 2005

Revised: November 30, 2005

Published: February 2006

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Abstract

We prove that a one-dimensional expanding Lorenz-like map admits an induced Markov structure which allows us to obtain estimates for the rates of mixing for observables with weaker regularity than Hölder.

Keywords:

Lorenz-like maps,
absolutely continuous invariant measures,
rates of mixing,
tower extensions.

Mathematics Subject Classification: 37D50, 37A25, 37E05.

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Decay of correlations for non-Hölder observables for one-dimensional expanding Lorenz-like maps

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