Pollicott, Mark and Vytnova, Polina (2016) Linear response and periodic points. Nonlinearity, 29 (10). ISSN 0951-7715.

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Abstract

Given an expanding map of the interval we can associate an absolutely continuous measure. Given an Anosov transformation on a two torus we can associate a Sinai–Ruelle–Bowen measure. In this note we consider first and second derivatives of the change in the average of a reference function. We present an explicit convergent series for these derivatives. In particular, this gives a relatively simple method of computation.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Nonlinear theories -- Mathematical models, Riemannian manifolds, Anosov diffeomorphisms
Journal or Publication Title:	Nonlinearity
Publisher:	Institute of Physics Publishing Ltd.
ISSN:	0951-7715
Official Date:	19 August 2016
Dates:	Date Event 19 August 2016 Published 19 July 2016 Accepted 19 January 2016 Submitted
Volume:	29
Number:	10
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	22 September 2016
Date of first compliant Open Access:	19 August 2017

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