VARIATIONAL INEQUALITY FOR CONDITIONAL PRESSURE ON A BOREL SUBSET

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Title:	VARIATIONAL INEQUALITY FOR CONDITIONAL PRESSURE ON A BOREL SUBSET
Authors:	Li, Y (Li, Yuan) Chen, EC (Chen, Ercai) Cheng, WC (Cheng, Wen-Chiao)
Contributors:	Dept Appl Math
Keywords:	variational principle topological conditional pressure conditional entropy ENTROPY PRINCIPLE
Date:	2012-03
Issue Date:	2013-02-22 14:09:04 (UTC+8)
Abstract:	We define topological conditional pressure on a Borel subset and investigate its properties. We then estimate the supremum of metric conditional entropy with potential energy. The usual basic properties hold for this topological conditional pressure. In particular, we find a variational inequality that is an extension of the variational principle for topological pressure.
Relation:	PACIFIC JOURNAL OF MATHEMATICS 卷: 256 期: 1 頁數: 151-164
Appears in Collections:	[應數系] 期刊論文

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