Abstract
Let us study the problem of conjugation from the measure-theoretic viewpoint. Consider two measure-preserving dynamical systems given by a map T 1: X 1 → X 1 preserving a measure μ 1 and a map T 2: X 2 → X 2 preserving a measure μ 2.
The sun comes up just about as often as it goes down, in the long run, but this doesn’t make its motion random. D. Knuth
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Parry, W.: Topics in Ergodic Theory. Cambridge Tracts in Mathematics, vol. 75. Cambridge University Press, Cambridge (1981)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer-Verlag London
About this chapter
Cite this chapter
Coudène, Y. (2016). Entropy. In: Ergodic Theory and Dynamical Systems. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-7287-1_10
Download citation
DOI: https://doi.org/10.1007/978-1-4471-7287-1_10
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)