Decay of correlations on towers with non-Hölder Jacobian and non-exponential return time
type: Item
instance of: scholarly article
title: Decay of correlations on towers with non-Hölder Jacobian and non-exponential return time
zbMATH Open document ID: 1075.37002
author: Jérôme Buzzi
author: Véronique Maume-Deschamps
published in: Discrete and Continuous Dynamical Systems
publication date: 2005-06-21T00:00:00Z
review text: The authors study the rate of decay of correlations for tower systems (a special class of countable Markov dynamical systems) under rather weak assumptions that the corresponding Jacobian is of summable variation and the return time is only integrable. The main result is that the rate of decay of correlations can be estimated by the minimum of speeds allowed by the defect of smoothness if the statistics of return times are exponential, or by the statistics of return times if the Jacobian is Holder continuous.
reviewed by: Michael L. Blank
Mathematics Subject Classification ID: 37A25
Mathematics Subject Classification ID: 37A30
Mathematics Subject Classification ID: 47A35
zbMATH DE Number: 2177454
zbMATH Keywords: tower system
zbMATH Keywords: transfer operator
zbMATH Keywords: equilibrium state
MaRDI profile type: Publication
full work available at URL: dcds.2005.12.639
OpenAlex ID: W2110241969
DOI: 10.3934/DCDS.2005.12.639
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description: scientific article; zbMATH DE number 2177454