Skip to main content

Stricte ergodicite d’ensembles minimaux de substitution

Part of the Lecture Notes in Mathematics book series (LNM,volume 532)

Résumé

On se propose de donner une démonstration de la stricte ergodicité des ensembles minimaux engendrés par les substitutions de longueur non constante.

Ce travail est une généralisation des résultats obtenus par B. KLEIN dans le cas de suites de substitution de longueur constante.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Références

  1. Gottschalk. Substitution Minimal Sets. Trans. Amer. Math. Soc. 109, (1963), 467–491.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Kakutani. Ergodic Theory of Shift transformations. 5th Berkeley Symposium, (1967), 405–414.

    Google Scholar 

  3. Keane. Generalized Morse Sequence. Z. Wahrscheinlichkeits-theorie und Verw. Gebiete 10, (1968), 335–353.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Klein. Homorphisms of symbolic dynamical systems. Mathematical Systems Theory 6 n0 2, (1972), 107–122.

    CrossRef  MathSciNet  Google Scholar 

  5. Michel. Stricte ergodicité d’ensembles minimaux de substitution. C.R. Acad. Sc. Paris, t. 278, (1974), 811–813

    MATH  Google Scholar 

  6. Oxtoby. Ergodic Sets. Bull. Amer. Math. Soc. 58, (1952) 116–136.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Michel, P. (1976). Stricte ergodicite d’ensembles minimaux de substitution. In: Conze, JP., Keane, M.S. (eds) Théorie Ergodique. Lecture Notes in Mathematics, vol 532. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080180

Download citation

  • DOI: https://doi.org/10.1007/BFb0080180

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07803-6

  • Online ISBN: 978-3-540-38217-1

  • eBook Packages: Springer Book Archive