Articles

ENTROPY FUNCTIONAL FOR CONTINUOUS SYSTEMS OF FINITE ENTROPY

  • M. Rahimi ,
  • A. Riazi
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  • Department of Mathematics, Amirkabir University of Technology, Tehran, Iran

Received date: 2010-03-19

  Revised date: 2010-12-28

  Online 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.

Cite this article

M. Rahimi , A. Riazi . ENTROPY FUNCTIONAL FOR CONTINUOUS SYSTEMS OF FINITE ENTROPY[J]. Acta mathematica scientia, Series B, 2012 , 32(2) : 775 -782 . DOI: 10.1016/S0252-9602(12)60057-5

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