Entropy operator for continuous dynamical systems of finite topological entropy

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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

volume 38  issue 4

pages  883- 892

publication date 2012-12-15

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