Séminaire du LPTMS: Jacek Grela *** séminaire exceptionnel ***


11:00 - 12:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405

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Dynamical non-Hermitian random matrices – Hydrodynamics and relevance of eigenvectors

Jacek Grela (LPTMS, Université Paris-Sud)

I present a study of non-Hermitian dynamical random matrices with special emphasis put on identifying relevant degrees of freedom. Hermitian case will be revisited and compared to and the formalism of characteristic polynomials and Green’s function formalism discussed. We will present how a hydrodynamical picture of Burgers equations arises and what a special role eigenvectors play in it. Examples and interpretation of results in a couple of statistical physics models will be delivered.

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