Uniform rigidity sequences for weakly mixing diffeomorphisms on D-m, T-m and S-1 x [0,1](m-1)

作者：Kunde Philipp^*

来源：Journal of Mathematical Analysis and Applications, 2018, 462(2): 1398-1424.

DOI：10.1016/j.jmaa.2018.02.048

• Smooth Ergodic Theory
• Weakly mixing
• Uniformly rigid
• Uniform rigidity sequence

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.

• 出版日期2018-6-15