A Nonlinear Transfer Operator Theorem.

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Title: A Nonlinear Transfer Operator Theorem.
Authors: Pollicott, Mark1 mpollic@maths.warwick.ac.uk
Source: Journal of Statistical Physics. Feb2017, Vol. 166 Issue 3/4, p516-524. 9p.
Subjects: Ruelle operators, Transfer operators, Matrices (Mathematics), Continuous functions, Mathematics theorems
Abstract: 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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract: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. [ABSTRACT FROM AUTHOR]
ISSN:00224715
DOI:10.1007/s10955-016-1646-1