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On statistical properties for equilibrium states of partially hyperbolic horseshoes (1604.04156v1)
Published 14 Apr 2016 in math.DS
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 H\"older 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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