Polynomial mixing for time-changes of unipotent flows

DOI10.2422/2036-2145.202011_111zbMath1506.37043arXiv2011.11213OpenAlexW3160593096MaRDI QIDQ5041379

Davide Ravotti

Publication date: 13 October 2022

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.11213

zbMATH Keywords

compact surfaceshorocycle flowsconnected semisimple Lie grouppolynomial decay of correlations

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Homogeneous flows (37A17)

Cites Work

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• Logarithm laws for flows on homogeneous spaces
• Orthogonal powers and Möbius conjecture for smooth time changes of horocycle flows
• Quantitative equidistribution of horocycle push-forwards of transverse arcs
• Mixing for smooth time-changes of general nilflows
• Quantitative multiple mixing
• On disjointness properties of some parabolic flows
• Polynomial 3-mixing for smooth time-changes of horocycle flows
• Parabolic perturbations of unipotent flows on compact quotients of \(\mathrm{SL}(3,\mathbb{R})\)
• Absolutely continuous spectrum for parabolic flows/maps
• Limit Theorems for Horocycle Flows
• Spherical Functions on a Semisimple Lie Group, I
• Time-changes of Heisenberg nilflows
• The rate of mixing for geodesic and horocycle flows
• Lebesgue spectrum of countable multiplicity for conservative flows on the torus
• Mixing for suspension flows over skew-translations and time-changes of quasi-abelian filiform nilflows

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