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Quantum Exclusion Process, Random Matrices and Free Cumulants

Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Tags

Mathematical Physics Courses Quantum Mechanics Courses Probability Theory Courses Statistical Mechanics Courses Random Matrix Theory Courses Free Probability Courses

Course Description

Overview

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Explore the intricacies of the Quantum Symmetric Simple Exclusion Process (QSSEP) in this illuminating lecture. Delve into the model of quantum particles hopping on a finite interval while adhering to the exclusion principle. Discover how free cumulants, originating from free probability and random matrix theory, encode the fluctuations of the invariant measure as the number of sites approaches infinity. Gain insights from Philippe Biane of the Laboratoire d'Informatique Gaspard Monge in Marne-la-Vallée as he elucidates the connections between quantum processes, random matrices, and free cumulants in this hour-long presentation from the Institut des Hautes Etudes Scientifiques (IHES).

Syllabus

Philippe Biane - Quantum Exclusion Process, Random Matrices and Free Cumulants


Taught by

Institut des Hautes Etudes Scientifiques (IHES)

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