Uniform rigidity sequences for weakly mixing diffeomorphisms on \(\mathbb{D}^m\), \(\mathbb{T}^m\) and \(\mathbb{S}^1 \times [0, 1]^{m - 1}\)

DOI10.1016/j.jmaa.2018.02.048zbMath1386.37003OpenAlexW2793468136MaRDI QIDQ1746673

Philipp Kunde

Publication date: 25 April 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.02.048

zbMATH Keywords

weakly mixingsmooth ergodic theoryuniformly rigiduniform rigidity sequence

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05)

Related Items (3)

Anatole Katok ⋮ A smooth zero-entropy diffeomorphism whose product with itself is loosely Bernoulli ⋮ Approximate identities and Lagrangian Poincaré recurrence

Cites Work

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• On ergodic transformations that are both weakly mixing and uniformly rigid
• Weakly mixing diffeomorphisms preserving a measurable Riemannian metric with prescribed Liouville rotation behavior
• On weakly mixing homeomorphisms of the two-torus that are uniformly rigid
• Uniform rigidity sequences for weak mixing diffeomorphisms on \(\mathbb{D}^2\), \(\mathbb{A}\) and \(\mathbb{T}^2\)
• Nonstandard smooth realization of translations on the torus
• Rigidity and non-recurrence along sequences
• Rigidity in topological dynamics
• Constructions in elliptic dynamics
• Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary

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