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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 1995; 32(3): 573-582

Printed September 1, 1995

Copyright © The Korean Mathematical Society.

Continuity of directional entropy for a class of ${Z}^2$-actions

Kyewon K. Park

Ajou University

Abstract

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We show that if the directional entropy $h(\vec v)$ is the same as the cone entropy, then the directional entropy is upper semi-continuons with respect to the direction. We also investigate a sufficient condition for the directional entropy to be the same as the cone entropy.

Keywords: directional entropy, cone entropy

MSC numbers: Primary 28D05

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