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}
}
  • P. Eslami
  • Published 16 February 2020
  • Mathematics, Computer Science
  • Discrete & Continuous Dynamical Systems
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. 

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