On measure-preserving rank one transformations
Dynamical Systems
2020-05-27 v3
Abstract
Rank one transformations serve as a source of examples in ergodic theory, showing variety of algebraic, asymptotic and spectral properties of dynamical systems. The properties of a rank one transformation are closely related to the weak closure of its action. In this direction, known and new constructions of transformations and related problems are studied.
Cite
@article{arxiv.2005.00449,
title = {On measure-preserving rank one transformations},
author = {V. V. Ryzhikov},
journal= {arXiv preprint arXiv:2005.00449},
year = {2020}
}
Comments
in Russian