Title of article :
MUTUAL ENTROPY MAP FOR CONTINUOUS MAPS ON COMPACT METRIC SPACES
Author/Authors :
Rahimi ، Mehdi Department of Mathematics - Faculty of Science - University of Qom , Assari ، Amir Department of Basic Science - Jundi-Shapur University of Technology
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 :
Entropy , invariant , mutual entropy
Journal title :
Mathematical Analysis and Convex Optimization
Journal title :
Mathematical Analysis and Convex Optimization
