Melbourne, Ian (2018) Superpolynomial and polynomial mixing for semiflows and flows. Nonlinearity, 31 (10). R268. doi:10.1088/1361-6544/aad309 ISSN 0951-7715.

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Abstract

We give a review of results on superpolynomial decay of correlations, and polynomial decay of correlations, for nonuniformly expanding semiflows and nonuniformly hyperbolic flows. A self-contained proof is given for semiflows. Results for flows are stated without proof (the proofs are contained in separate joint work with Bálint and Butterley). Applications include intermittent solenoidal flows, suspended Hénon attractors, Lorenz attractors and singular hyperbolic attractors, and various Lorentz gas models including the infinite horizon Lorentz gas.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title:	Nonlinearity
Publisher:	Institute of Physics Publishing Ltd.
ISSN:	0951-7715
Official Date:	4 September 2018
Dates:	Date Event 4 September 2018 Published 12 July 2018 Accepted
Volume:	31
Number:	10
Article Number:	R268
DOI:	10.1088/1361-6544/aad309
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	20 July 2018
Date of first compliant Open Access:	26 October 2018
Related URLs:	Publisher

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