On Local Rank, Joinings and Asymptotic Properties of Measure-Preserving Actions

Abstract

The note contains a collection of facts and observations around locally rank one actions as well as constructions connected with some results by T.Downarowicz, A.Katok, J.King, F.Parreau, A.A.Prikhodko, E.Roy, J.Serafin, J-P.Thouvenot et al.

arXiv commentErgodic theory

References in corpus (4)

• Prime Poisson suspensions
• On ergodic properties of iceberg transformations. I: Approximation and spectral multiplicity
• Around King's Rank-One theorems: Flows and Z^n-actions
• Local Rank of Ergodic Symmetric $n$-Powers does not exceed $n!n^{-n}$