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arxiv: 1507.01123 · v1 · pith:5FQ7NX42new · submitted 2015-07-04 · 🧮 math.DS · math.NT

Substitutions and M\"obius disjointness

classification 🧮 math.DS math.NT
keywords disjointnessobiussubstitutionsbijectiveconjecturedynamicalgeneratedgiven
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We show that Sarnak's conjecture on M\"obius disjointness holds for all subshifts given by bijective substitutions and some other similar dynamical systems, e.g.\ those generated by Rudin-Shapiro type sequences.

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