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Your search keyword '"Cheng, An-Chiao"' showing total 4 results
Start Over Author "Cheng, An-Chiao" Topic 37b40
4 results on '"Cheng, An-Chiao"'

2. ESTIMATE FOR SUPREMUM OF CONDITIONAL ENTROPY ON A CLOSED SUBSET

Author

Cheng, Wen-Chiao

Subjects
37A35, General Mathematics, topological entropy, 37B40, conditional metric entropy, variational inequality
Abstract

This paper compares the conditional metric entropy $h_{\mu}(T\mid G)$, with the topological entropy, $h_{top}(T\mid G)$, of a continuous map $T$, where $G$ is a closed fully $T$-invariant subset. The following Variational Inequality is proven, $$h_{top}(T\mid G)\leq \sup _{\mu\in M(X,T)}h_{\mu}(T\mid \langle G \rangle )\leq h_{top}(T\mid G)+h_{top}(T\mid cl(X\backslash G))$$ where $M(X,T)$ is the collection of all invariant measures of $X$, which is an extension of the usual variational principle when $G=X$. more...

Published
2008
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3. Some properties on topological entropy of free semigroup action.

Author

Tang, Jingru, Li, Bing, and Cheng, Wen-Chiao

Subjects
TOPOLOGICAL entropy, FREE groups, POWER law (Mathematics), SKEWNESS (Probability theory), MATHEMATICAL transformations
Abstract

The aim of this paper is to examine the topological entropy for a free semigroup action defined by Bufetov using separated and spanning sets. First, this study reveals that such entropy is a topological conjugacy invariant and also can be equivalently defined using open covers. Furthermore, a quantitative analogue of Bowen's theorem for semiconjugacy is provided and we compared the topological entropies presented by Bufetov and Biś. Finally, a formula for the entropy of skew-product transformation with respect to the subshift is obtained. [ABSTRACT FROM PUBLISHER] more...

Published
2018
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4. Pre-image entropy for free semigroup actions.

Author

Cheng, Wen-Chiao

Subjects
*SEMIGROUPS (Algebra), *GROUP theory, *TOPOLOGICAL entropy, *SKEWNESS (Probability theory), *DISTRIBUTION (Probability theory)
Abstract

The purpose of this study is to indicate fundamental propositions of the pre-image entropy related to a system proposed by Bufetov [Bufetov A. Topological entropy of free semigroup actions and skew-product transformations. J Dyn Control Syst 1999;5:137–143. 1.] for generating free semigroup actions. This study reveals the formula for the pre-image entropy of skew-product transformation with respect to the one-sided shift space. Finally, one example is presented to show how to obtain the pre-image entropy value for the skew-product transformation. [ABSTRACT FROM AUTHOR] more...

Published
2016
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