Maximal entropy measures in dimension zero

Dawid Huczek

Colloquium Mathematicae (2012)

  • Volume: 127, Issue: 1, page 55-66
  • ISSN: 0010-1354

Abstract

top
We prove that an invertible zero-dimensional dynamical system has an invariant measure of maximal entropy if and only if it is an extension of an asymptotically h-expansive system of equal topological entropy.

How to cite

top

Dawid Huczek. "Maximal entropy measures in dimension zero." Colloquium Mathematicae 127.1 (2012): 55-66. <http://eudml.org/doc/283477>.

@article{DawidHuczek2012,
abstract = {We prove that an invertible zero-dimensional dynamical system has an invariant measure of maximal entropy if and only if it is an extension of an asymptotically h-expansive system of equal topological entropy.},
author = {Dawid Huczek},
journal = {Colloquium Mathematicae},
keywords = {zero-dimensional system; topological entropy; asymptotically -expansive system},
language = {eng},
number = {1},
pages = {55-66},
title = {Maximal entropy measures in dimension zero},
url = {http://eudml.org/doc/283477},
volume = {127},
year = {2012},
}

TY - JOUR
AU - Dawid Huczek
TI - Maximal entropy measures in dimension zero
JO - Colloquium Mathematicae
PY - 2012
VL - 127
IS - 1
SP - 55
EP - 66
AB - We prove that an invertible zero-dimensional dynamical system has an invariant measure of maximal entropy if and only if it is an extension of an asymptotically h-expansive system of equal topological entropy.
LA - eng
KW - zero-dimensional system; topological entropy; asymptotically -expansive system
UR - http://eudml.org/doc/283477
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.