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Tail pressure and the tail entropy function

Published online by Cambridge University Press:  14 June 2011

YUAN LI ,
ERCAI CHEN  and
WEN-CHIAO CHENG
YUAN LI
Affiliation:
School of Mathematical Science, Nanjing Normal University, Nanjing 210097, Jiangsu, PR China (email: [email protected], [email protected])
ERCAI CHEN
Affiliation:
School of Mathematical Science, Nanjing Normal University, Nanjing 210097, Jiangsu, PR China (email: [email protected], [email protected]) Center of Nonlinear Science, Nanjing University, Nanjing 210093, Jiangsu, PR China
WEN-CHIAO CHENG
Affiliation:
Department of Applied Mathematics, Chinese Culture University, Yangmingshan, Taipei 11114, Taiwan (email: [email protected])
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Abstract

Burguet [A direct proof of the tail variational principle and its extension to maps. Ergod. Th. & Dynam. Sys.29 (2009), 357–369] presented a direct proof of the variational principle of tail entropy and extended Downarowicz’s results to a non-invertible case. This paper defines and discusses tail pressure, which is an extension of tail entropy for continuous transformations. This study reveals analogs of many known results of topological pressure. Specifically, a variational principle is provided and some applications of tail pressure, such as the investigation of invariant measures and equilibrium states, are also obtained.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 32 , Issue 4 , August 2012 , pp. 1400 - 1417
Copyright
Copyright © Cambridge University Press 2011

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