Smooth mixing flows with purely singular spectra

DOI10.1215/S0012-7094-06-13225-8zbMath1099.37018OpenAlexW2147990721MaRDI QIDQ2495307

Bassam Fayad

Publication date: 5 July 2006

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-06-13225-8

zbMATH Keywords

mixingperiodic approximationssingular maximal spectral typesmooth diffeomorphisms and flows

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)

Related Items (8)

Invariant measures for passive scalars in the small noise inviscid limit ⋮ Stirring speeds up chemical reaction ⋮ A generalization of van der Corput's difference theorem with applications to recurrence and multiple ergodic averages ⋮ Continuous spectrum for a class of smooth mixing Schrödinger operators ⋮ Lebesgue spectrum of countable multiplicity for conservative flows on the torus ⋮ A smooth mixing flow on a surface with nondegenerate fixed points ⋮ Smooth, mixing transformations with loosely Bernoulli Cartesian square ⋮ A class of mixing special flows over two-dimensional rotations

Cites Work

• A dichotomy between discrete and continuous spectrum for a class of special flows over rotations
• Mixing of all orders and pairwise independent joinings of systems with singular spectrum
• Continuous speed changes for flows
• ON MIXING IN SPECIAL FLOWS OVER A SHIFTING OF SEGMENTS AND IN SMOOTH FLOWS ON SURFACES
• Weak mixing for reparameterized linear flows on the torus
• Analytic mixing reparametrizations of irrational flows
• APPROXIMATIONS IN ERGODIC THEORY
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