Q-entropy for symbolic dynamical systems

Yun Zhao, Yakov Pesin

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1 Scopus citations

Abstract

For symbolic dynamical systems we use the Carathéodory construction as described in (Pesin 1997 Dimension Theory in Dynamical Systems, ConTemporary Views and Applications (Chicago: University of Chicago Press)) to introduce the notions of q-topological and q-metric entropies. We describe some basic properties of these entropies and in particular, discuss relations between q-metric entropy and local metric entropy. Both q-topological and q-metric entropies are new invariants respectively under homeomorphisms and metric isomorphisms of dynamical systems.

Original languageEnglish (US)
Article number494002
JournalJournal of Physics A: Mathematical and Theoretical
Volume48
Issue number49
DOIs
StatePublished - Nov 17 2015

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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