Entropy bounds through continuum theory.

Autor: Morales, C. A., Martin, B. San, Sirvent, V. F.
Předmět:
Zdroj: Proceedings of the American Mathematical Society; Mar2021, Vol. 149 Issue 3, p1061-1075, 15p
Abstrakt: We will use continuum-theory to obtain an upper bound for the Kolmogorov-Sinai metric entropy. This bound (throughout called continuum-wise entropy) though different satisfies some properties resembling the metric entropy. Moreover, we prove that every ergodic measure with positive continuum-wise entropy is continuum-wise expansive. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index