论文信息 - Product of two staircase rank one transformations that is not loosely Bernoulli - 字舞流文

Product of two staircase rank one transformations that is not loosely Bernoulli

We construct two staircase rank one transformations whose Cartesian product is not loosely Bernoulli.

Adam Kanigowski | Thierry de la Rue | T. DE LA RUE | Adam Kanigowski

[1] Cesar E. Silva,et al. Mixing on rank-one transformations , 2006, math/0603553.

[2] Terrence M. Adams. Smorodinsky’s conjecture on rank-one mixing , 1998 .

[3] M. Ratner. Horocycle flows are loosely Bernoulli , 1978 .

[4] Marlies Gerber,et al. A zero-entropy mixing transformation whose product with itself is loosely Bernoulli , 1981 .

[5] Adam Kanigowski,et al. Product of two Kochergin flows with different exponents is not standard , 2017, Studia Mathematica.

[6] D. Ornstein. On the root problem in ergodic theory , 1972 .

[7] J. Feldman. NewK-automorphisms and a problem of Kakutani , 1976 .

[8] Benjamin Weiss,et al. Equivalence of measure preserving transformations , 1982 .

[9] M. Ratner. The cartesian square of the horocycle flow is not loosely Bernoulli , 1979 .