A smooth zero-entropy diffeomorphism whose product with itself is loosely Bernoulli-Reference-Cited by-同舟云学术

A smooth zero-entropy diffeomorphism whose product with itself is loosely Bernoulli

Published:2020-08-08 Issue:2 Volume:141 Page:521-583
ISSN:0021-7670
Container-title:Journal d'Analyse Mathématique
language:en
Short-container-title:JAMA

Author:

Gerber Marlies,Kunde Philipp

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s11854-020-0108-5.pdf

Reference35 articles.

1. D. V. Anosov and A. Katok, New examples in smooth ergodic theory. Ergodic diffeomorphisms, Trudy Moskov. Mat. Obsc. 23 (1970), 3–36.

2. S. Banerjee and P. Kunde, Real-analytic diffeomorphisms with homogeneous spectrum and disjointness of convolutions, preprint, arXiv: 1711.02537 [math.DS].

3. M. Benhenda, An uncountable family of pairwise non-Kakutani equivalent smooth diffeomorphisms, J. Anal. Math. 127 (2015), 129–178.

4. M. I. Brin, J. Feldman and A. Katok, Bernoulli diffeomorphisms and group extensions of dynamical systems with non-zero characteristic exponents, Ann. of Math. (2) 113 (1981), 159–179.

5. B. Fayad and A. Katok, Constructions in elliptic dynamics, Ergodic Theory Dynam. Systems 24 (2004), 1477–1520.

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