Typical infinite mixing automorphisms are rank-one
Dynamical Systems
2024-08-02 v2
Abstract
Bashtanov proved that generic mixing automorphisms of probability space with respect to the Alpern-Tikhonov metric had rank one. Using Sidon's constructions, we show that generic infinite mixing automorphisms also are rank-one.
Keywords
Cite
@article{arxiv.2407.21768,
title = {Typical infinite mixing automorphisms are rank-one},
author = {Valery V. Ryzhikov},
journal= {arXiv preprint arXiv:2407.21768},
year = {2024}
}