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arXiv · 1411.2638

Uniform rigidity sequences for weak mixing diffeomorphisms on $\mathbb{T}^2$

Philipp Kunde
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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 $\mathbb{T}^2$ 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 $C^{\infty}$-topology as well as in the real-analytic topology.

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Philipp Kunde. 2014-11-10. Uniform rigidity sequences for weak mixing diffeomorphisms on $\mathbb{T}^2$. https://arxiv.org/abs/1411.2638

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