Entropy and density
HTML articles powered by AMS MathViewer
- by George H. Stein PDF
- Proc. Amer. Math. Soc. 28 (1971), 505-508 Request permission
Abstract:
We prove that for any $r$, “$\operatorname {entropy} = r$” is a dense condition in the uniform topology.References
- Patrick Billingsley, Ergodic theory and information, John Wiley & Sons, Inc., New York-London-Sydney, 1965. MR 0192027
- Paul R. Halmos, Lectures on ergodic theory, Publications of the Mathematical Society of Japan, vol. 3, Mathematical Society of Japan, Tokyo, 1956. MR 0097489
- William Parry, Entropy and generators in ergodic theory, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0262464
- V. A. Rohlin, Lectures on the entropy theory of transformations with invariant measure, Uspehi Mat. Nauk 22 (1967), no. 5 (137), 3–56 (Russian). MR 0217258
- V. A. Rohlin, Entropy of metric automorphism, Dokl. Akad. Nauk SSSR 124 (1959), 980–983 (Russian). MR 0103258
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 505-508
- MSC: Primary 28.70
- DOI: https://doi.org/10.1090/S0002-9939-1971-0280682-X
- MathSciNet review: 0280682