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February  2006, 15(1): 159-176. doi: 10.3934/dcds.2006.15.159

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, United Kingdom

Received  October 2005 Revised  December 2005 Published  February 2006

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: tower extensions., Lorenz-like maps, rates of mixing, absolutely continuous invariant measures.
Mathematics Subject Classification: 37D50, 37A25, 37E0.
Citation: Karla Díaz-Ordaz. Decay of correlations for non-Hölder observables for one-dimensional expanding Lorenz-like maps. Discrete & Continuous Dynamical Systems, 2006, 15 (1) : 159-176. doi: 10.3934/dcds.2006.15.159
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