entropy operator for continuous dynamical systems of finite topological entropy

Authors

mehdi rahimi

abdolhamid riazi

abstract

in this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. it is shown that it generates the kolmogorov entropy as a special case. if $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

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Journal title:
bulletin of the iranian mathematical society

Publisher: iranian mathematical society (ims)

ISSN 1017-060X

volume 38

issue 4 2012

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