2024-03-29T11:21:08Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/635202021-06-10T13:53:42Zcom_10234_7037com_10234_9col_10234_8635
Repositori UJI
author
Sanchis López, Manuel
author
Virili, Simone
author
Dikranjan, Dikran
2013-05-15T10:37:41Z
2013-05-15T10:37:41Z
2012-04
http://hdl.handle.net/10234/63520
http://dx.doi.org/10.1016/j.topol.2011.05.046
In 1965 Adler, Konheim and McAndrew defined the topological entropy of a continuous self-map of a compact space. In 1971 Bowen extended this notion to uniformly continuous self-maps of (not necessarily compact) metric spaces and this approach was pushed further to uniform spaces and topological groups by many authors, giving rise to various versions of the topological entropy function. In 1981 Peters proposed a completely different (algebraic) entropy function for continuous automorphisms of non-compact LCA groups. The aim of this paper is to discuss some of these notions and their properties, trying to describe the relations among the various entropies and to correct some errors appearing in the literature.
eng
Topological entropy
Bowen entropy
Uniform entropy
Algebraic entropy
Addition Theorem
Locally compact group
New and old facts about entropy in uniform spaces and topological groups
info:eu-repo/semantics/article
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