Pollicott, Mark (2017) A nonlinear transfer operator theorem. Journal of Statistical Physics, 166 (3). pp. 516-524. doi:10.1007/s10955-016-1646-1

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Abstract

In recent papers, Kenyon-Peres-Solomyak [6] and Fan-Schmeling-Wu [3],[2] introduced a form of non-linear thermodynamic formalism based on solutions to a non-linear equation using matrices. In this note we consider the more general setting of H¨older continuous functions.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Ruelle operators, Transfer operators
Journal or Publication Title:	Journal of Statistical Physics
Publisher:	Springer New York LLC
ISSN:	0022-4715
Official Date:	February 2017
Dates:	Date Event February 2017 Published 9 November 2016 Available 18 October 2016 Accepted
Volume:	166
Number:	3
Page Range:	pp. 516-524
DOI:	10.1007/s10955-016-1646-1
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
Funder:	Leverhulme Trust (LT), Engineering and Physical Sciences Research Council (EPSRC)
Grant number:	RPG-2015-346 (Leverhulme Trust (LT)), EP/M0011903/1 (EPSRC)

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