Uniform rigidity sequences for weakly mixing diffeomorphisms on Dm, Tm and S1 x [0,1]m-1

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:462

Article

Kunde, Philipp¹ 

[1] Univ Hamburg, Dept Math, Bundesstr 55, D-20146 Hamburg, Germany

关键词: Smooth Ergodic Theory;    Weakly mixing;    Uniformly rigid;    Uniform rigidity sequence;   

DOI  :  10.1016/j.jmaa.2018.02.048

来源: Elsevier

【 摘 要 】

In continuation of [10] we construct weakly mixing and uniformly rigid diffeomorphisms on D-m, T-m as well as S-1 x [0, 1](m-1) (m >= 2): If a sequence of natural numbers satisfies a certain growth rate, then there is a weakly mixing C-infinity-diffeomorphism that is uniformly rigid with respect to that sequence. The proof is based on a quantitative version of the Approximation by Conjugation-method with explicitly defined conjugation maps. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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