Smorodinsky’s conjecture on rank-one mixing

Author:

Adams Terrence

Abstract

We prove Smorodinsky’s conjecture: the rank-one transformation, obtained by adding staircases whose heights increase consecutively by one, is mixing.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference11 articles.

1. [AF] T.M. Adams and N.A. Friedman, Staircase mixing, Ergod. Th. & Dynam. Sys., to appear.

2. On the mean ergodic theorem for subsequences;Blum, J. R.;Bull. Amer. Math. Soc.,1960

3. The maximal spectral type of a rank one transformation;Choksi, J. R.;Canad. Math. Bull.,1994

4. Van Nostrand Reinhold Mathematical Studies, No. 29;Friedman, Nathaniel A.,1970

5. Mixing on sequences;Friedman, Nathaniel A.;Canad. J. Math.,1983

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