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Phase transitions for countable Markov shifts

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UNSPECIFIED (2001) Phase transitions for countable Markov shifts. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 217 (3). pp. 555-577. ISSN 0010-3616

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Abstract

We study the analyticity of the topological pressure for some one-parameter families of potentials on countable Markov shifts. We relate the non-analyticity of the pressure to changes in the recurrence properties of the system. We give sufficient conditions for such changes to exist and not to exist. We apply these results to the Manneville-Pomeau map, and use them to construct examples with different critical behavior.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Journal or Publication Title: COMMUNICATIONS IN MATHEMATICAL PHYSICS
Publisher: SPRINGER-VERLAG
ISSN: 0010-3616
Date: March 2001
Volume: 217
Number: 3
Number of Pages: 23
Page Range: pp. 555-577
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/12303

Data sourced from Thomson Reuters' Web of Knowledge

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