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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: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Rank One Imaginary Perturbation For Hermitian Random Matrices In The Case Of Band Matrices
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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Rank One Imaginary Perturbation For Hermitian Random Matrices In The Case Of Band Matrices

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