Generic mixing is rank-1
Dynamical Systems
2012-03-30 v1
Abstract
In paper [1] S. V. Tikhonov introduced a complete metric on the space of mixing transformations. It generates a topology called leash-topology. In [2] Tikhonov states the following problem: for what mixing transformation T its conjugacy class is dense in the space of mixing transformations with leash-topology? We show that it is true for every mixing T. As a corollary we get that generic mixing is rank-1.
Cite
@article{arxiv.1203.6430,
title = {Generic mixing is rank-1},
author = {Alexey Bashtanov},
journal= {arXiv preprint arXiv:1203.6430},
year = {2012}
}
Comments
10 pages