Cargando…

A Nonlinear Transfer Operator Theorem

In recent papers, Kenyon et al. (Ergod Theory Dyn Syst 32:1567–1584 2012), and Fan et al. (C R Math Acad Sci Paris 349:961–964 2011, Adv Math 295:271–333 2016) introduced a form of non-linear thermodynamic formalism based on solutions to a non-linear equation using matrices. In this note we consider...

Descripción completa

Detalles Bibliográficos
Autor principal: Pollicott, Mark
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7114965/
https://www.ncbi.nlm.nih.gov/pubmed/32269385
http://dx.doi.org/10.1007/s10955-016-1646-1
_version_ 1783513997269532672
author Pollicott, Mark
author_facet Pollicott, Mark
author_sort Pollicott, Mark
collection PubMed
description In recent papers, Kenyon et al. (Ergod Theory Dyn Syst 32:1567–1584 2012), and Fan et al. (C R Math Acad Sci Paris 349:961–964 2011, Adv Math 295:271–333 2016) 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 Hölder continuous functions.
format Online
Article
Text
id pubmed-7114965
institution National Center for Biotechnology Information
language English
publishDate 2016
publisher Springer US
record_format MEDLINE/PubMed
spelling pubmed-71149652020-04-06 A Nonlinear Transfer Operator Theorem Pollicott, Mark J Stat Phys Article In recent papers, Kenyon et al. (Ergod Theory Dyn Syst 32:1567–1584 2012), and Fan et al. (C R Math Acad Sci Paris 349:961–964 2011, Adv Math 295:271–333 2016) 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 Hölder continuous functions. Springer US 2016-11-09 2017 /pmc/articles/PMC7114965/ /pubmed/32269385 http://dx.doi.org/10.1007/s10955-016-1646-1 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Pollicott, Mark
A Nonlinear Transfer Operator Theorem
title A Nonlinear Transfer Operator Theorem
title_full A Nonlinear Transfer Operator Theorem
title_fullStr A Nonlinear Transfer Operator Theorem
title_full_unstemmed A Nonlinear Transfer Operator Theorem
title_short A Nonlinear Transfer Operator Theorem
title_sort nonlinear transfer operator theorem
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7114965/
https://www.ncbi.nlm.nih.gov/pubmed/32269385
http://dx.doi.org/10.1007/s10955-016-1646-1
work_keys_str_mv AT pollicottmark anonlineartransferoperatortheorem
AT pollicottmark nonlineartransferoperatortheorem