Hostname: page-component-7b7567c8c-wxvwp Total loading time: 0 Render date: 2026-11-15T04:07:18.501Z Has data issue: false hasContentIssue false
  • English
  • Français

Entropy and finite generators for locally compact subshifts

Published online by Cambridge University Press:  17 April 2001

DORIS FIEBIG and
ULF-RAINER FIEBIG
DORIS FIEBIG
Affiliation:
Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany (e-mail: fiebig@math.uni-heidelberg.de)
ULF-RAINER FIEBIG
Affiliation:
Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany (e-mail: fiebig@math.uni-heidelberg.de)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

We introduce transition entropy and periodic entropy for locallycompact subshifts. Finiteness of both characterizes the existenceof a finite generator. Finiteness of the transition entropycharacterizes the existence of a generator with bounded degree.We extend Krieger's embedding theorem and characterize thelocally compact non-dense subsystems of a (compact) mixingshift of finite type.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 2 , April 1997, pp. 349 - 368
Copyright
1997 Cambridge University Press