Strictly Ergodic Symbolic Dynamical Systems

Abstract

We continue the study of strictly ergodic symbolic dynamical systems which was started in our earlier report [6]. The main tools used in this investigation are "homomorphisms" and "substitutions". Among other things, we construct two strictly ergodic symbolic dynamical systems which are weakly mixing but not strongly mixing.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD1022356

Entities

People

  • Shizuo Kakutani

Organizations

  • Yale University

Tags

DTIC Thesaurus Topics

  • Continuous Spectra
  • Eigenvalues
  • Eigenvectors
  • Intervals
  • Irrational Numbers
  • Numbers
  • Probability
  • Real Numbers
  • Sequences
  • Spectra
  • Topology

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.