Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (2): 775-782.doi: 10.1016/S0252-9602(12)60057-5

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ENTROPY FUNCTIONAL FOR CONTINUOUS SYSTEMS OF FINITE ENTROPY

M. Rahimi, A. Riazi   

  1. Department of Mathematics, Amirkabir University of Technology, Tehran, Iran
  • Received:2010-03-19 Revised:2010-12-28 Online:2012-03-20 Published:2012-03-20

Abstract:

In this article, we introduce the concept of entropy functional for continuous systems on compact metric spaces, and prove some of its properties. We also extract the Kolmogorov entropy from the entropy functional.

Key words: Entropy, entropy functional, invariant

CLC Number: 

  • 37A35
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