Möbius disjointness for analytic skew products

DOI10.1007/s00222-016-0707-zzbMath1377.37069arXiv1608.02697OpenAlexW3105562824MaRDI QIDQ2406816

Zhiren Wang

Publication date: 6 October 2017

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02697

zbMATH Keywords

Möbius functionrotation of circle

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Arithmetic functions; related numbers; inversion formulas (11A25) Symbolic dynamics (37B10)

Related Items (23)

Cancellation in algebraic twisted sums on \(\operatorname{GL}_m\) ⋮ Möbius disjointness for models of an ergodic system and beyond ⋮ Strong orthogonality between the Möbius function and skew products ⋮ Sarnak's conjecture for nilsequences on arbitrary number fields and applications ⋮ A NOTE ON MÖBIUS DISJOINTNESS FOR SKEW PRODUCTS ON A CIRCLE AND A NILMANIFOLD ⋮ Möbius disjointness conjecture on the product of a circle and the Heisenberg nilmanifold ⋮ Topological Wiener-Wintner ergodic theorem with polynomial weights ⋮ Möbius disjointness for topological models of ergodic measure-preserving systems with quasi-discrete spectrum ⋮ Orders of oscillation motivated by Sarnak’s conjecture ⋮ Möbius disjointness for skew products on the Heisenberg nilmanifold ⋮ The Bombieri–Vinogradov Theorem on Higher Rank Groups and its Applications ⋮ Measure complexity and Möbius disjointness ⋮ The generalized Bourgain-Sarnak-Ziegler criterion and its application to additively twisted sums on \(\mathrm{GL}_m\) ⋮ The logarithmic Sarnak conjecture for ergodic weights ⋮ Möbius disjointness for interval exchange transformations on three intervals ⋮ Sarnak's conjecture for irregular flows on infinite-dimensional torus ⋮ Möbius disjointness for skew products on a circle and a nilmanifold ⋮ Sarnak’s conjecture for sequences of almost quadratic word growth ⋮ Approximate orthogonality of powers for ergodic affine unipotent diffeomorphisms on nilmanifolds ⋮ Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics ⋮ Möbius disjointness along ergodic sequences for uniquely ergodic actions ⋮ Möbius disjointness for distal flows in short intervals ⋮ Rigidity in dynamics and M

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