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28 February 2024 to 6 March 2024
HSE Study Center “Voronovo”
Europe/Moscow timezone

The eigenvalue spectrum of a large real antisymmetric random matrix with non-zero mean

5 Mar 2024, 17:54
12m
HSE Study Center “Voronovo”

HSE Study Center “Voronovo”

Voronovskoe, Moscow Russian Federation
Talk (10+2 min) Young Scientist Forum Young Scientist Forum

Speaker

Pavel Meshcheriakov (MIPT, Skoltech, Landau Institute for Theoretical Physics)

Description

In our work, we consider the problem of finding the spectrum of eigenvalues of a random real antisymmetric matrix $J$ with large size $N\gg1$. We study the case of non-zero mean value using the replica method.

This problem is motivated by a $\text{SYK}_2$ model with connections from a Gaussian distribution with non-zero mean.

Primary authors

Pavel Meshcheriakov (MIPT, Skoltech, Landau Institute for Theoretical Physics) Andrei Katsevich (MIPT, Landau Institute for Theoretical Physics)

Presentation materials