Comptes Rendus
no. 6
Mathematical analysis/Dynamical systems
Brin–Katok formula for the measure theoretic r-entropy
[Formule de Brin–Katok pour la mesure de la r-entropie au sens de la théorie de la mesure]

Présenté par : J.P. Kahane

Xiaoyao Zhou1, 2 ; Longnian Zhou1 ; Ercai Chen1, 3
1 School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University, Nanjing 210023, PR China
2 Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, PR China
3 Center of Nonlinear Science, Nanjing University, Nanjing 210093, PR China
Comptes Rendus. Mathématique, Volume 352 (2014) no. 6, pp. 473-477.

L'entropie constitue une notion éssentielle de la théorie des systèmes dynamiques. Les calculs des diverses entropies sont importants, mais souvent difficiles. On donne ici la formule structurelle de Brin–Katok pour la r-entropie au sens de la théorie de la mesure.

Entropy is undoubtedly among the most essential characteristics of dynamical systems. Calculations of various entropies are important but often difficult. This article is devoted to constructing the Brin–Katok formula for the measure theoretic r-entropy.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.04.005
Xiaoyao Zhou 1, 2 ; Longnian Zhou 1 ; Ercai Chen 1, 3

1 School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University, Nanjing 210023, PR China
2 Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, PR China
3 Center of Nonlinear Science, Nanjing University, Nanjing 210093, PR China 
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Xiaoyao Zhou; Longnian Zhou; Ercai Chen. Brin–Katok formula for the measure theoretic r-entropy. Comptes Rendus. Mathématique, Volume 352 (2014) no. 6, pp. 473-477. doi : 10.1016/j.crma.2014.04.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.04.005/

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