Multiple mixing and disjointness for time changes of bounded-type Heisenberg nilflows

DOI10.5802/jep.111zbMath1436.37039arXiv1810.13319OpenAlexW2983010485WikidataQ126865057 ScholiaQ126865057MaRDI QIDQ2333119

Giovanni Forni, Adam Kanigowski

Publication date: 11 November 2019

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.13319

zbMATH Keywords

Ratner propertymultiple mixingtime-changesSarnak's conjecturedisjointnessnilflows

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (11)

Deviations of ergodic sums for toral translations. II: Boxes ⋮ Limit theorems for higher rank actions on Heisenberg nilmanifolds ⋮ On disjointness properties of some parabolic flows ⋮ Polynomial 3-mixing for smooth time-changes of horocycle flows ⋮ On ergodic properties of time changes of partially hyperbolic homogeneous flows ⋮ Rigidity of a class of smooth singular flows on \(\mathbb{T}^2\) ⋮ Lebesgue spectrum of countable multiplicity for conservative flows on the torus ⋮ Slow chaos in surface flows ⋮ Mixing for smooth time-changes of general nilflows ⋮ Multiple mixing and disjointness for time changes of bounded-type Heisenberg nilflows ⋮ Rigidity of joinings for some measure-preserving systems

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