Analytic reparametrizations of translation toral flows with countable Lebesgue spectrum

DOI10.3934/dcds.2023063zbMath1530.37082arXiv2208.10571OpenAlexW4380989993MaRDI QIDQ6165945

Bassam Fayad, Fatna Abdedou, Arezki Kessi

Publication date: 2 August 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.10571

zbMATH Keywords

mixing propertycountable Lebesgue spectrumBernoulli flowsquasi-periodic flows

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Cites Work

• Time-changes of horocycle flows
• PARTIALLY MIXING AND LOCALLY RANK 1 SMOOTH TRANSFORMATIONS AND FLOWS ON THE TORUS T^d, d [ges 3]
• Analytic mixing reparametrizations of irrational flows
• Lebesgue spectrum of countable multiplicity for conservative flows on the torus
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