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

Philipp Kunde - No affiliation found

2018/06/15 Full-length article DOI: 10.1016/j.jmaa.2018.02.048 Journal: Journal of Mathematical Analysis and Applications

Abstract:

AbstractIn continuation of [10] we construct weakly mixing and uniformly rigid diffeomorphisms on Dm, Tm as well as S1×[0,1]m−1 (m≥2): If a sequence of natural numbers satisfies a certain growth rate, then there is a weakly mixing C∞-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.