Universally finitary symbolic extensions

Jacek Serafin

Fundamenta Mathematicae (2009)

  • Volume: 206, Issue: 1, page 281-285
  • ISSN: 0016-2736

Abstract

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We prove that by considering a finitary (almost continuous) symbolic extension of a topological dynamical system instead of a continuous extension, one cannot achieve any drop of the entropy of the extension.

How to cite

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Jacek Serafin. "Universally finitary symbolic extensions." Fundamenta Mathematicae 206.1 (2009): 281-285. <http://eudml.org/doc/282622>.

@article{JacekSerafin2009,
abstract = {We prove that by considering a finitary (almost continuous) symbolic extension of a topological dynamical system instead of a continuous extension, one cannot achieve any drop of the entropy of the extension.},
author = {Jacek Serafin},
journal = {Fundamenta Mathematicae},
keywords = {symbolic extension; entropy; finitary mapping},
language = {eng},
number = {1},
pages = {281-285},
title = {Universally finitary symbolic extensions},
url = {http://eudml.org/doc/282622},
volume = {206},
year = {2009},
}

TY - JOUR
AU - Jacek Serafin
TI - Universally finitary symbolic extensions
JO - Fundamenta Mathematicae
PY - 2009
VL - 206
IS - 1
SP - 281
EP - 285
AB - We prove that by considering a finitary (almost continuous) symbolic extension of a topological dynamical system instead of a continuous extension, one cannot achieve any drop of the entropy of the extension.
LA - eng
KW - symbolic extension; entropy; finitary mapping
UR - http://eudml.org/doc/282622
ER -

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