Brin–Katok formula for the measure theoretic r-entropy

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.

RésuméL'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.