Skip to main content
  • Book
  • © 1976

Ergodic Theory on Compact Spaces

Part of the book series: Lecture Notes in Mathematics (LNM, volume 527)

Buying options

eBook USD 44.99
Price excludes VAT (USA)
  • ISBN: 978-3-540-38263-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 59.95
Price excludes VAT (USA)

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

Table of contents (32 chapters)

  1. Front Matter

    Pages I-IV
  2. Introduction

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 1-2
  3. Measure-theoretic dynamical systems

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 3-7
  4. Measures on compact metric spaces

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 8-16
  5. Invariant measures for continuous tranformations

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 17-19
  6. Time averages

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 20-22
  7. Ergodicity

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 23-29
  8. Mixing and transitivity

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 30-35
  9. Shifts and subshifts

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 36-40
  10. Measures on the shift space

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 41-48
  11. Partitions and generators

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 49-55
  12. Information and entropy

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 56-61
  13. The computation of entropy

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 62-67
  14. Entropy for Bernoulli and Markov shifts

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 68-72
  15. Ergodic decompositions

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 73-81
  16. Topological entropy

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 82-91
  17. Topological generators

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 92-102
  18. Expansive homeomorphisms

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 103-116
  19. Subshifts of finite type

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 117-130
  20. The variational principle for topological entropy

    • Manfred Denker, Christian Grillenberger, Karl Sigmund
    Pages 131-146

Keywords

  • Ergodic theory
  • Finite
  • Invariant
  • Morphism
  • average
  • ergodicity
  • mixing
  • theorem

Bibliographic Information

  • Book Title: Ergodic Theory on Compact Spaces

  • Authors: Manfred Denker, Christian Grillenberger, Karl Sigmund

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0082364

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1976

  • Softcover ISBN: 978-3-540-07797-8

  • eBook ISBN: 978-3-540-38263-8

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 366

  • Topics: Mathematics

Buying options

eBook USD 44.99
Price excludes VAT (USA)
  • ISBN: 978-3-540-38263-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 59.95
Price excludes VAT (USA)