数学物理学报(英文版) ›› 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
  • 收稿日期:2010-03-19 修回日期:2010-12-28 出版日期:2012-03-20 发布日期:2012-03-20

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

摘要:

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.

关键词: Entropy, entropy functional, invariant

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

中图分类号: 

  • 37A35