Title of article :
Entropy operator for continuous dynamical systems of finite topological entropy
Author/Authors :
Rahimi-Nasrabadi، Mehdi نويسنده Department of Analytical Chemistry, Faculty of Science, Imam Hossein University, Tehran, IR Iran , , Riazi، Abdolhamid نويسنده Amirkabir University of technology ,
Issue Information :
دوفصلنامه با شماره پیاپی 0 سال 2012
Abstract :
In this paper we introduce the concept of entropy operator for a continuous system 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 by the topological entropy of $\phi$ as its norm.
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society