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Rank One Imaginary Perturbation for Hermitian Random Matrices in the Case of Band Matrices

[HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 2 September 20, 2021 - September 24, 2021

September 22, 2021 (11:10 AM PDT - 12:00 PM PDT)
Speaker(s): Mariya Shcherbina (B. Verkin Institute for Low Temperature Physics)
Location: MSRI: Simons Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

We consider a two dimensional eigenvalue density which appears on the complex plane if we add a rank one imaginary perturbation to the Hermitian random matrix. The case of band matrices is of prime interest for us.

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