Uniform rigidity sequences for weak mixing diffeomorphisms on D2, A and T2

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:429

Article

Kunde, Philipp

关键词: Smooth ergodic theory;    Weakly mixing;    Uniformly rigid;    Rigidity sequence;   

DOI  :  10.1016/j.jmaa.2015.04.006

来源: Elsevier

【 摘 要 】

In the case of the disc D-2, the annulus A = S-1 x [0, 1] and the torus T-2 we will show that if a sequence of natural numbers satisfies a certain growth rate, then there is a weak mixing diffeomorphism 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-infinity-topology. Beyond that we can deduce a similar result in the real-analytic topology in the case of T-2. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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