Similarity of automorphisms of the torus

This paper shows that entropy is a completer metric similarity invariant for the continuous ergodic group automorphisms of the two-dimensional torus.

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Adler, Roy L., 1931-2016
Corporate Author: Weiss, Benjamin (Author)
Format: Electronic eBook
Language:Inglés
Published: [Providence] [American Mathematical Society], [1970]
Series:Memoirs of the American Mathematical Society ; no. 98.
Subjects:
Automorphic functions.
Measure theory.
Théorie de la mesure.
Fonctions automorphes.
Measure theory
Automorphic functions
31.41 real analysis.
Online Access:Texto completo
Table of Contents:
  • 0. Introduction 1. Metric similarity and entropy 2. Automorphisms of the torus 3. Three kinds of similarity for torus automorphisms 4. Symbolic dynamical systems 5. Main theorem 6. Automorphisms as Markov shifts, Cases Ia and IIa 7. Coding, Case Ia 8. Coding, Case IIa 9. Representation and coding, Case III 10. Topological entropy 11. Conclusion.

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