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
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Arnol′d, V.I.: Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics, vol. 60. Springer, New York (1978)
Arnol′d, V.I., Avez, A.: Ergodic Problems of Classical Mechanics. W.A. Benjamin Inc., New York (1968)
Krengel, U.: Ergodic Theorems. de Gruyter Studies in Mathematics, vol. 6. Walter de Gruyter & Co., Berlin (1985)
Mañé, R.: Ergodic Theory and Differentiable Dynamics. Ergebnisse der Mathematik und ihrer Grenzgebiete (3), vol. 8. Springer, Berlin (1987)
Parry, W.: Topics in Ergodic Theory. Cambridge Tracts in Mathematics, vol. 75. Cambridge University Press, Cambridge (1981)
Riesz, F., Sz.-Nagy, B.: Functional Analysis. Reprint of the 1955 original edn. Dover Books on Advanced Mathematics. Dover Publications Inc., New York (1990)
Author information
Authors and Affiliations
Rights 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
DOI: https://doi.org/10.1007/978-1-4471-7287-1_1
Published:
Publisher Name: Springer, London
Print ISBN: 978-1-4471-7285-7
Online ISBN: 978-1-4471-7287-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)