# Inducing schemes for multi-dimensional piecewise expanding maps

@article{Eslami2020InducingSF, title={Inducing schemes for multi-dimensional piecewise expanding maps}, author={Peyman Eslami}, journal={Discrete \& Continuous Dynamical Systems}, year={2020} }

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. As an application we check the conditions for the first return map of a class of multi-dimensional non-Markov, non-conformal intermittent maps.

## 3 Citations

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We extend results on robust exponential mixing for geometric Lorenz attractors, with a dense orbit and a unique singularity, to singular-hyperbolic attracting sets with any number of (either Lorenzor…

### Sharp Statistical Properties for a Family of Multidimensional NonMarkovian Nonconformal Intermittent Maps

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### Entropy formula for systems with inducing schemes

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We obtain entropy formulas for SRB measures with finite entropy given by inducing schemes. In the first part of the work, we obtain Pesin entropy formula for the class of noninvertible systems whose…

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### E-mail address: peslami7@gmail

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