WAP systems and labeled subshifts

Ethan Akin, Eli Glasner

Research output: Contribution to journalArticlepeer-review

Abstract

The main object of this work is to present a powerful method of construction of subshifts which we use chiefly to construct WAP systems with various properties. Among many other applications of this so called labeled subshifts, we obtain examples of null as well as non-null WAP subshifts, WAP subshifts of arbitrary countable (Birkhoff) height, and completely scrambled WAP systems of arbitrary countable height. We also construct LE but not HAE subshifts, and recurrent non-tame subshifts.

Original languageEnglish
Pages (from-to)1-128
Number of pages128
JournalMemoirs of the American Mathematical Society
Volume262
Issue number1265
DOIs
StatePublished - 2019

Keywords

  • Adherence semigroup
  • Countable subshifts
  • Enveloping semigroup
  • Expanding functions
  • HAE
  • LE dynamical systems
  • Null
  • Space of labels
  • Subshifts
  • Symbolic dynamics
  • Tame
  • WAP

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