Thermodynamic formalism for suspension flows over countable Markov shifts

T.M.W. Kempton

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We introduce a new notion of topological pressure for suspension flows over countable Markov shifts. We show that our definition, which is a natural analogue of Gurevich pressure for a Markov shift, is equivalent to previous notions of topological pressure which were defined on a restricted class of flows. We also widen the domain of definition of these previous notions, making them suitable for application to some important examples.
Original languageEnglish
Pages (from-to)2763-2775
Number of pages13
JournalNonlinearity
Volume24
Issue number10
DOIs
Publication statusPublished - Oct 2011

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