Almost Full Entropy Subshifts Uncorrelated to the Möbius Function

DOI10.1093/imrn/rnx192zbMath1436.37009arXiv1611.02084OpenAlexW2963044715MaRDI QIDQ5243271

Tomasz Downarowicz, Jacek Serafin

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02084

zbMATH Keywords

Möbius functionSarnak's conjectureinfinite arithmetic progression

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Relations between ergodic theory and number theory (37A44) Multidimensional shifts of finite type (37B51)

Related Items (7)

Möbius orthogonality of sequences with maximal entropy ⋮ Bohr chaoticity of topological dynamical systems ⋮ On arithmetic functions orthogonal to deterministic sequences ⋮ Furstenberg disjointness, Ratner properties, and Sarnak's conjecture ⋮ Möbius orthogonality of the Thue–Morse sequence along Piatetski-Shapiro numbers ⋮ Construction of some Chowla sequences ⋮ Automatic sequences are orthogonal to aperiodic multiplicative functions

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