Email this article Toward the History of Dynamical Entropy: Comparing Two Definitions
- Authors: Gurevich B.M.1,2
-
Affiliations:
- Moscow State University
- Institute for Information Transmission Problems
- Issue: Vol 215, No 6 (2016)
- Pages: 693-699
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/237701
- DOI: https://doi.org/10.1007/s10958-016-2874-2
- ID: 237701
Cite item
Open Access
Access granted
Subscription Access
Abstract
We prove that for ergodic automorphisms of a Lebesgue space, the definition of the measure-theoretic entropy suggested in the master thesis by D. Arov (1957) and remained unpublished and the well-known definition of Sinai (1959) reduce to each other, while in general this is not the case.
Keywords
About the authors
B. M. Gurevich
Moscow State University; Institute for Information Transmission Problems
Author for correspondence.
Email: bmgbmg2@gmail.com
Russian Federation, Moscow
Supplementary files
