Entropies of a semigroup of maps
type: Item
instance of: scholarly article
title: Entropies of a semigroup of maps
zbMATH Open document ID: 1063.37003
author: Andrzej Biś
published in: Discrete and Continuous Dynamical Systems
publication date: 2004-10-27T00:00:00Z
review text: The notion of topological entropy introduced originally for homeomorphisms admits several entropy-like invariants in the case of endomorphisms related to the noninvertibility of the map under study. The most known among them are the standard topological entropy, the preimage relation entropy, the preimage branch entropy, and the point entropy. In the present paper, these four entropy-like invariants are generalized to the case of a finitely generated semigroup of continuous transformations of a compact metric space. Relations between those entropies and suitable examples are considered as well.
reviewed by: Michael L. Blank
Mathematics Subject Classification ID: 37A35
Mathematics Subject Classification ID: 37C40
Mathematics Subject Classification ID: 37B40
zbMATH DE Number: 2110779
zbMATH Keywords: topological entropy
zbMATH Keywords: endomorphism
zbMATH Keywords: semigroup
MaRDI profile type: Publication
full work available at URL: dcds.2004.11.639
OpenAlex ID: W2151123826
DOI: 10.3934/DCDS.2004.11.639
description: scientific article; zbMATH DE number 2110779