Work

On substitution automorphisms with pure singular spectrum

Year: 2020

Type: preprint

Abstract: A sufficient condition for a substitution automorphism to have pure singular spectrum is given in terms of the top Lyapunov exponent of the associated spectral cocycle. As a corollary, singularity of the spectrum is established for an infinite family of self-similar interval exchange transformations.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2003.11287

Authors: Bufetov, Alexander I., Solomyak, Boris

Institutions: Centre National de la Recherche Scientifique, Aix-Marseille Université, Institut de Mathématiques de Marseille

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Agence Nationale de la Recherche, Stony Brook University

Awards: Reproducing kernels in Analysis and beyond, G4656594441

OpenAlex ID: W4287824109

Cites:

Cited by: 2

Related to: 10