| 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: | [Department of Applied Mathematics] journal articles
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