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A nonlinear transfer operator theorem

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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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Official URL: http://doi.org/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:
DateEvent
February 2017Published
9 November 2016Available
18 October 2016Accepted
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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