Möbius disjointness for homogeneous dynamics

DOI10.1215/00127094-2018-0026zbMath1452.11115arXiv1506.07778OpenAlexW2021237493MaRDI QIDQ1626581

Ryan Peckner

Publication date: 21 November 2018

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

Full work available at URL: https://arxiv.org/abs/1506.07778

zbMATH Keywords

algebraic groupsdynamical systemsharmonic analysisergodic theorynumber theoryhomogeneous dynamical systemsRatner's theorems

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Ergodic theory on groups (22D40)

Related Items (11)

Möbius orthogonality of sequences with maximal entropy ⋮ Möbius orthogonality for the Zeckendorf sum-of-digits function ⋮ Sarnak's conjecture for nilsequences on arbitrary number fields and applications ⋮ Möbius disjointness conjecture on the product of a circle and the Heisenberg nilmanifold ⋮ Möbius disjointness for topological models of ergodic measure-preserving systems with quasi-discrete spectrum ⋮ Measure complexity and Möbius disjointness ⋮ The logarithmic Sarnak conjecture for ergodic weights ⋮ Almost-prime times in horospherical flows on the space of lattices ⋮ Möbius disjointness for skew products on a circle and a nilmanifold ⋮ Sarnak’s conjecture for sequences of almost quadratic word growth ⋮ Möbius disjointness for distal flows in short intervals

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