Keywords
- Conditional Expectation
- Probability Vector
- Amenable Group
- Conditional Entropy
- Finite Part
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4.5. References
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SINAT, Y. G., On the notion of entropy of a dynamical system. Doklady Akad. Nauk SSSR 124 (1959), 768–771.
ROKHLIN, V. A., Lectures on the entropy theory of measure-preserving transformations. Russian Math. Surveys 22 (1967), 1–52.
PARRY, W., Entropy and generators in Ergodic Theory. Benjamin (1969).
ORNSTEIN, D. S., Bernoulli shifts with the same entropy are isomorphic. Adv. in Math. 4 (1970), 337–352.
ORNSTEIN, D. S., Ergodic theory, Randomness and dynamical systems. Yale mathematical monographs. Yale University press (1974).
SMORODINSKY, M., On Ornstein’s isomorphism theorem for Bernoulli-shifts. Adv. in Math. 9 (1972), 1–9.
KIEFFER, J. C., A generalized Shannon-McMillan theorem for the action of an amenable group on a probability space. The Annals of Proba. 3 (1975), 1031–1037.
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© 1985 Springer-Verlag
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Ollagnier, J.M. (1985). Entropy of abstract dynamical systems. In: Ergodic Theory and Statistical Mechanics. Lecture Notes in Mathematics, vol 1115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101579
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DOI: https://doi.org/10.1007/BFb0101579
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