Infinite measure~preserving~transformations with Radon MSJ
Dynamical Systems
2017-05-16 v5
Abstract
We introduce concepts of Radon MSJ and Radon disjointness for infinite Radon measure preserving homeomorphisms of the locally compact Cantor space. We construct an uncountable family of pairwise Radon disjoint infinite Chacon like transformations. Every such transformation is Radon strictly ergodic, totally ergodic, asymmetric (not isomorphic to its inverse), has Radon MSJ and possesses Radon joinings whose ergodic components are not joinings.
Keywords
Cite
@article{arxiv.1503.01568,
title = {Infinite measure~preserving~transformations with Radon MSJ},
author = {Alexandre I. Danilenko},
journal= {arXiv preprint arXiv:1503.01568},
year = {2017}
}
Comments
Final, slightly corrected, version, to appear in Isr. J. Math