A Note on Localization of Entropy of Doubly Stochastic Operators

  • Mehdi RahimiEmail author
  • Maisam Hedyeloo
  • Nahid Bidabadi
Research Paper
Part of the following topical collections:
  1. Mathematics


In this paper, we present a local approach to the entropy of doubly stochastic operators. The definition of the local entropy follows some steps, motivated by Downarowicz and Frej (Ergod Theory Dyn Syst 25(2):455–481, 2005). It results in a local approach to the entropy of doubly stochastic operators with finite numbers of ergodic measures as well as Koopman operators.


Doubly stochastic operator Entropy Local entropy 

Mathematics Subject Classification



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Copyright information

© Shiraz University 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceUniversity of QomQomIran
  2. 2.Department of MathematicsAmirkabir University of TechnologyTehranIran

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