ESTIMATE FOR SUPREMUM OF CONDITIONAL ENTROPY ON A CLOSED SUBSET

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題名:	ESTIMATE FOR SUPREMUM OF CONDITIONAL ENTROPY ON A CLOSED SUBSET
作者:	Cheng, Wen-Chiao
貢獻者:	應用數學系
關鍵詞:	Conditional metric entropy Topological entropy Variational inequality
日期:	2008
上傳時間:	2009-11-04 14:15:52 (UTC+8)
摘要:	This paper compares the conditional metric entropy h(mu)(T vertical bar G), with the topological entropy, h(top)(T vertical bar G), of a continuous map T, where G is a closed fully T-invariant subset. The following Variational Inequality is proven, h(top)(T vertical bar G) <= sup(mu is an element of M(X,T)) h(mu)(T vertical bar < G >) <= h(top)(T vertical bar G) + h(top)(T vertical bar cl(X\G)) where M(X, T) is the collection of all invariant measures of X, which is an extension of the usual variational principle when G = X.
關聯:	TAIWANESE JOURNAL OF MATHEMATICS Volume: 12 Issue: 7 Pages: 1791-1803
顯示於類別:	[應數系] 期刊論文

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