Uniform rigidity sequences for weak mixing diffeomorphisms on $\mathbb{T}^2$
Dynamical Systems
2014-11-12 v1
Abstract
In this paper we will show that if a sequence of natural numbers satisfies a certain growth rate, then there is a weak mixing diffeomorphism on that is uniformly rigid with respect to that sequence. The proof is based on a quantitative version of the Anosov-Katok-method with explicitly defined conjugation maps and the constructions are done in the -topology as well as in the real-analytic topology.
Cite
@article{arxiv.1411.2638,
title = {Uniform rigidity sequences for weak mixing diffeomorphisms on $\mathbb{T}^2$},
author = {Philipp Kunde},
journal= {arXiv preprint arXiv:1411.2638},
year = {2014}
}