Tail pressure and the tail entropy function

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Title:	Tail pressure and the tail entropy function
Authors:	Li, Y (Li, Yuan) Chen, EC (Chen, Ercai) Cheng, WC (Cheng, Wen-Chiao)
Contributors:	Dept Appl Math
Keywords:	LOCAL VARIATIONAL PRINCIPLE TOPOLOGICAL PRESSURE CONDITIONAL ENTROPY MAPS SETS
Date:	2012-08
Issue Date:	2013-02-20 11:32:29 (UTC+8)
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.
Relation:	ERGODIC THEORY AND DYNAMICAL SYSTEMS 卷: 32 頁數: 1400-1417
Appears in Collections:	[Department of Applied Mathematics] journal articles

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