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20132025
most citedLocalization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent

10 citations · 30 across the 16 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.SP2020

Zero Measure Spectrum for Multi-Frequency Schrödinger Operators

Jon Chaika, David Damanik, Jake Fillman +1

Building on works of Berthé--Steiner--Thuswaldner and Fogg--Nous we show that on the two-dimensional torus, Lebesgue almost every translation admits a natural coding such that the…

math.SP2020★ 3 cited

Schrödinger Operators with Thin Spectra

David Damanik, Jake Fillman

The determination of the spectrum of a Schrödinger operator is a fundamental problem in mathematical quantum mechanics. We discuss a series of results showing that Schrödinger oper…