MUTUAL ENTROPY MAP FOR CONTINUOUS MAPS ON COMPACT METRIC SPACES

Document Type : Original Article

Authors
Mehdi Rahimi 1
Amir Assari 2
1 Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran.
2 Department of Basic Science, Jundi-Shapur University of Technology, Dezful, Iran
10.29252/maco.1.1.6
Abstract
 In this paper we introduce the concept of mutual entropy map for continuous maps on metric spaces. It is a non-negative extended real number which depends on two measures which are preserved by a system. Then we will extract the Kolmogorov entropy of ergodic systems from the mutual entropy as a special case when the two measures are equal.

Keywords

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Mathematical Analysis and Convex Optimization
Volume 1, Issue 1
June 2020
Pages 49-55