Anderson localization on quantum graphs coded by elements of a subshift of finite type

Abstract We study Schrödinger operators on quantum graphs where the number of edges between points is determined by orbits of a "shift of finite type". We prove Anderson localization for these systems.

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Publication Details

Journal
Analysis and Mathematical Physics
Published
2026-07-24
DOI
https://doi.org/10.1007/s13324-026-01246-y
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
0.00

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article

Anderson localization on quantum graphs coded by elements of a subshift of finite type

Oleg Safronov
Analysis and Mathematical Physics
Spectral Theory in Mathematical Physics
article

Anderson localization on quantum graphs coded by elements of a subshift of finite type

Oleg Safronov
article en

Abstract

Abstract We study Schrödinger operators on quantum graphs where the number of edges between points is determined by orbits of a "shift of finite type". We prove Anderson localization for these systems.

Analysis and Mathematical PhysicsVol. 16(4)
University of North Carolina at Charlotte (US)
University of North Carolina at Charlotte
Reduced inequalities
Openalex Percentile: Top 4%
Spectral Theory in Mathematical Physics
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Anderson localization on quantum graphs coded by elements of a subshift of finite type — Oleg Safronov · Analysis and Mathematical Physics (2026) | TGRS Research Map | TGRS