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Probability and Stochastic Processes Seminar

Speaker: Jake Fillman (Texas State University)

Title: Almost-Periodic Schrödinger Operators with Thin Spectra

Abstract: The determination of the spectrum of a Schrödinger operator is a fundamental problem in mathematical quantum mechanics. We will discuss a series of results showing that almost-periodic Schrödinger operators can exhibit spectra that are remarkably thin in the sense of Lebesgue measure and fractal dimensions: the spectrum can be a Cantor set of zero Lebesgue measure and zero Hausdorff dimension.  [joint work with D. Damanik, A. Gorodetski, and M. Lukic]

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Tuesday, October 19 at 3:00pm to 4:00pm

Virtual Event
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Lectures & Presentations




Current Students, Faculty & Staff

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Maximilian Pechmann

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