Description

• Title:
  A note on dimensional entropy for amenable group actions
• Creator:
  Dou, Dou;
  Zhang, Ruifeng
• Description:
  In this short note, for countably infinite amenable group actions, we provide topological proofs for the following results: Bowen topological entropy (dimensional entropy) of the whole space equals the usual topological entropy along tempered F{\o}lner sequences; the Hausdorff dimension of an amenable subshift (for certain metric associated to some F{\o}lner sequence) equals its topological entropy. This answers questions by Zheng and Chen \cite{ZC} and Simpson \cite{S}.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2018 Topological Methods in Nonlinear Analysis
• Date:
  2018.03.18
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 51, No 2 (June 2018); 599 - 608;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.056/14352 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.056/14353
• Subject:
  Topological entropy;
  dimensional entropy;
  amenable group;
  Hausdorff dimension;
  subshift;
  Primary;
  37B40;
  28D20;
  54H20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.056
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other