METRIC ENTROPY FOR SET-VALUED MAPS

被引：4

作者：

Vivas, Kendry J. ^{[1
]}

Sirvent, Victor F. ^{[1
]}

机构：

[1] Univ Catolica Norte, Dept Matemat, Av Angamos 0610, Antofagasta, Chile

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 11期

关键词：

Metric entropy; set-valued map; measurable selection; topological en-tropy; variational principle; TOPOLOGICAL-ENTROPY;

D O I：

10.3934/dcdsb.2022010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we define a notion of metric entropy for an invariant measure associated to a set-valued map F on a compact metric space X. Besides, we describe its main properties and prove the Half Variational Principle, which relates the metric entropy with the notion of topological entropy given in [13] for this class of maps.

引用

页码：6589 / 6604

页数：16

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