Quantum Exclusion Process, Random Matrices and Free Cumulants

7 juin 2024, 15:30
1h
Centre de Conférences Marilyn et James Simons (Le Bois-Marie)

Centre de Conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres CS 40001 91893 Bures-sur-Yvette Cedex

Orateur

Philippe Biane (Laboratoire d'Informatique Gaspard Monge, Marne-la-Vallée)

Description

The Quantum Symmetric Simple Exclusion Process (QSSEP) is a model of quantum particles hopping on a finite interval and satisfying the exclusion principle. I will explain how free cumulants, which are quantities arising in free probability and random matrix theory, encode the fluctuations of the invariant measure of this process when the number of sites goes to infinity.

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