Mixing on rank-one transformations

• Autorzy: Darren Creutz , Cesar E. Silva
• Języki publikacji: EN

Abstrakty

EN

We prove that mixing on rank-one transformations is equivalent to "the uniform convergence of ergodic averages (as in the mean ergodic theorem) over subsequences of partial sums". In particular, all polynomial staircase transformations are mixing.

Kategorie tematyczne

• 37A25: Ergodicity, mixing, rates of mixing
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 199
• Numer: 1
• Strony: 43-72

Daty

wydano

2010

Twórcy

autor

Darren Creutz

• Department of Mathematics, University of California, Los Angeles, Box 951555, Los Angeles, CA 90095-1555, U.S.A.

autor

Cesar E. Silva

• Department of Mathematics, Williams College, Williamstown, MA 01267, U.S.A.

Identyfikatory

DOI

10.4064/sm199-1-4