Melbourne, Ian and Terhesiu, Dalia (2018) Mixing properties for toral extensions of slowly mixing dynamical systems with finite and infinite measure. Journal of Modern Dynamics, 12 . pp. 285-313. doi:10.3934/jmd.2018011 ISSN 1930-5311.

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Abstract

We prove results on mixing and mixing rates for toral extensions of nonuniformly expanding maps with subexponential decay of correlations. Both the finite and infinite measure settings are considered. Under a Dolgopyat-type condition on nonexistence of approximate eigenfunctions, we prove that existing results for (possibly nonMarkovian) nonuniformly expanding maps hold also for their toral extensions.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title:	Journal of Modern Dynamics
Publisher:	American Institute of Mathematical Sciences
ISSN:	1930-5311
Official Date:	December 2018
Dates:	Date Event December 2018 Published 31 August 2018 Accepted
Volume:	12
Page Range:	pp. 285-313
DOI:	10.3934/jmd.2018011
Status:	Peer Reviewed
Publication Status:	Published
Reuse Statement (publisher, data, author rights):	The following article appeared in Melbourne, Ian and Terhesiu, Dalia (2018) Mixing properties for toral extensions of slowly mixing dynamical systems with finite and infinite measure. Journal of Modern Dynamics, 12 . pp. 285-313. doi:10.3934/jmd.2018011 and may be found at https://doi.org/10.3934/jmd.2018011
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	3 September 2018
Date of first compliant Open Access:	1 January 2020
Related URLs:	Publisher

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