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Fluctuations in exclusion processes

Course given by Prof. O. Blondel (Lyon)

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Date: 28 April 2025 - 30 April 2025



LectureTimePlace
Lecture 110:45-12:15, 28.04.2025Main Lecture Hall, Ex-Isef
Lecture 210:45-12:15, 29.04.2025Main Lecture Hall, Ex-Isef
Lecture 314:15-15:45, 29.04.2025Main Lecture Hall, Ex-Isef
Lecture 416:15-17:45, 30.04.2025Main Lecture Hall, Ex-Isef

We will focus on weakly asymmetric exclusion processes on the line or half-line, and investigate their fluctuations out of equilibrium. We will review the various tools used in proving convergence to the KPZ equation in the strategy initiated in [Bertini-Giacomin ‘97] and discuss how they can be adapted to the singular initial condition that arises when one considers fluctuations of the facilitated exclusion process at the interface.