Opis

• Title:
  Dynamics on sensitive and equicontinuous functions
• Creator:
  Li, Jie;
  Yu, Tao;
  Zeng, Tiaoying
• Description:
  The notions of sensitive and equicontinuous functions under semigroup action are introduced and intensively studied. We show that a transitive system is sensitive if and only if it has a sensitive pair if and only if it has a sensitive function. While there exists a minimal non-weakly mixing system such that every non-constant continuous function is sensitive, and a topological dynamical system is weakly mixing if and only if it is sensitive consistently with respect to (at least) any two non-constant continuous functions. We also get a dichotomy result for minimal systems -- every continuous function is either sensitive or equicontinuous.
• Object availability:
  Dostęp otwarty
• Rights:
  Prawa autorskie (c) 2018 Topological Methods in Nonlinear Analysis
• Date:
  2018.01.08
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  angielski
• Source:
  Topological Methods in Nonlinear Analysis; Vol 51, No 2 (June 2018); 545 - 563;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.054/13811 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.054/13812
• Subject:
  Sensitivity;
  sensitive pairs;
  sensitive functions;
  equicontinuous functions;
  weak mixing;
  Primary;
  37B05;
  Secondary;
  54H20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.054
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  poproś o pozwolenie
• Type:
  pozostałe