Inducing schemes for multi-dimensional piecewise expanding maps | Zendy

Peyman Eslami | Zendy

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Inducing schemes for multi-dimensional piecewise expanding maps

Author(s) -

Peyman Eslami

Publication year - 2021

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2021120

Subject(s) - conformal map , piecewise , transformation (genetics) , class (philosophy) , base (topology) , markov chain , exponential function , construct (python library) , mathematics , piecewise linear function , operator (biology) , computer science , pure mathematics , discrete mathematics , mathematical analysis , artificial intelligence , statistics , biochemistry , chemistry , repressor , transcription factor , gene , programming language

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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