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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
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 | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > 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: |
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| 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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