Skip to main content

The Mean Ergodic Theorem

  • Chapter
  • First Online:
Ergodic Theory and Dynamical Systems

Part of the book series: Universitext ((UTX))

  • 4092 Accesses

Abstract

Ergodic theory is the study of the long-term behavior of systems preserving a certain form of energy.

The most useful piece of advice I would give to a mathematics student is always to suspect an impressive sounding theorem if it does not have a special case which is both simple and non-trivial. M.F. Atiyah

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 64.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 84.99
Price excludes VAT (USA)
  • 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

Institutional subscriptions

References

  1. Arnol′d, V.I.: Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics, vol. 60. Springer, New York (1978)

    Google Scholar 

  2. Arnol′d, V.I., Avez, A.: Ergodic Problems of Classical Mechanics. W.A. Benjamin Inc., New York (1968)

    Google Scholar 

  3. Krengel, U.: Ergodic Theorems. de Gruyter Studies in Mathematics, vol. 6. Walter de Gruyter & Co., Berlin (1985)

    Google Scholar 

  4. Mañé, R.: Ergodic Theory and Differentiable Dynamics. Ergebnisse der Mathematik und ihrer Grenzgebiete (3), vol. 8. Springer, Berlin (1987)

    Google Scholar 

  5. Parry, W.: Topics in Ergodic Theory. Cambridge Tracts in Mathematics, vol. 75. Cambridge University Press, Cambridge (1981)

    Google Scholar 

  6. Riesz, F., Sz.-Nagy, B.: Functional Analysis. Reprint of the 1955 original edn. Dover Books on Advanced Mathematics. Dover Publications Inc., New York (1990)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer-Verlag London

About this chapter

Cite this chapter

Coudène, Y. (2016). The Mean Ergodic Theorem. In: Ergodic Theory and Dynamical Systems. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-7287-1_1

Download citation

Publish with us

Policies and ethics