Cantor Singular Continuous Spectrum for Operators Along Interval Exchange Transformations

2007/05/17 by Milton Cobo, M. Cobo, Cobo, M. +6
Computer Science · Mathematics · Physics and Astronomy · #37B05 #37B10 #47B36 #47B37 #FOS: Physical sciences #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #advanced mathematical theories #math-ph #math.MP #msc:37B05 #msc:37B10 #msc:47B36 #msc:47B37

paper · pdf · doi:10.48550/arxiv.0705.2512

arxiv created 2007/05/17 · openalex publication_date 2007/05/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that Schroedinger operators, with potentials along the shift embedding of Lebesgue almost every interval exchange transformations, have Cantor spectrum of measure zero and pure singular continuous for Lebesgue almost all points of the interval.

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