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Limit free computation of entropy

DIKRANJAN, Dikran
•
GIORDANO BRUNO, Anna
2012
  • journal article

Periodico
RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITAÌ€ DI TRIESTE
Abstract
Various limit-free formulas are given for the computation of the algebraic and the topological entropy, respectively in the settings of endomorphisms of locally finite discrete groups and of continuous endomorphisms of totally disconnected compact groups. As applications we give new proofs of the connection between the algebraic and the topological entropy in the abelian case and of the connection of the topological entropy with the finite depth for topological automorphisms.
Archivio
http://hdl.handle.net/11390/870169
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84874145736
http://www.openstarts.units.it/dspace/handle/10077/8294
Diritti
open access
Soggetti
  • algebraic entropy

  • finite depth

  • topological entropy

  • totally disconnected ...

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