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arXiv · 1604.04156

On statistical properties for equilibrium states of partially hyperbolic horseshoes

Vanessa Ramos·Jaqueline Siqueira
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Abstract

We derive some statistical properties for equilibrium states of partially hyperbolic horseshoes. We define a projection map associated to the horseshoe and prove a spectral gap for its transfer operator acting on the space of Hölder continuous observables. From this we deduce an exponential decay of correlations and a central limit theorem. We finally extend these results to the horseshoe.

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Vanessa Ramos, Jaqueline Siqueira. 2016-04-14. On statistical properties for equilibrium states of partially hyperbolic horseshoes. https://arxiv.org/abs/1604.04156

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