Mobius disjointness for interval exchange transformations on three\n intervals

2016/06/07 by Jon Chaika, Chaika, Jon, Alex Eskin +1
Mathematics · #37A45 #37E05 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1606.02357

openalex publication_date 2016/06/07 · openalex created_date 2022/08/15 · openalex updated_date 2026/07/28

Abstract

We show that Sarnak's conjecture on Mobius disjointness holds for interval\nexchange transformations on three intervals (3-IETs) that satisfy a mild\ndiophantine condition.\n

Related

• Substitutions and Möbius disjointness
• Hausdorff dimension of a class of three-interval exchange maps
• Orbit structure of interval exchange transformations with flip
• Exchange of three intervals: itineraries, substitutions and\n palindromicity
• Interval Exchange Transformations and Low-Discrepancy