Inducing schemes for multi-dimensional piecewise expanding maps

Peyman Eslami

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arXiv · 2002.06679

Inducing schemes for multi-dimensional piecewise expanding maps

Peyman Eslami

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Abstract

We construct inducing schemes for general multi-dimensional piecewise expanding maps where the base transformation is Gibbs-Markov and the return times have exponential tails. Such structures are a crucial tool in proving statistical properties of dynamical systems with some hyperbolicity.

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Peyman Eslami. 2020-02-16. Inducing schemes for multi-dimensional piecewise expanding maps. https://arxiv.org/abs/2002.06679

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