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Inducing schemes for multi-dimensional piecewise expanding maps

Published 16 Feb 2020 in math.DS | (2002.06679v1)

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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