Measure-preserving homeomorphisms of the torus represent all finite entropy ergodic transformations

Author:

Lind D. A.,Thouvenot J. -P.

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Mathematics,Theoretical Computer Science,Computational Theory and Mathematics,Theoretical Computer Science

Reference17 articles.

1. R. Adler and B. Weiss, Similarity of automorphisms of the torus,Memoirs of the Amer. Math. Soc. 98 (1970).

2. D. V. Anosov andA. B. Katok, New examples in smooth ergodic theory. Ergodic diffeomorphisms,Trans. Moscow Math. Soc., AMS Transl. 23 (1972), 1–35.

3. V. I. Arnold andA. Avez,Ergodic Problems of Classical Mechanics, Benjamin, New York, 1968.

4. K. Berg,On the conjugacy problem for K-systems, Ph.D. Thesis, University of Minnesota, Minneapolis, Minn., 1967.

5. M. Denker, C. Grillenberger, andK. Sigmund, Ergodic theory on compact spaces,Springer Lecture Notes in Mathematics 527 (1976).

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