Next talk: Januray 20, 2026.
Tuesday - 5:00 pm (KSA)- (2:00 p.m GMT)
Zoom link: https://ksu-hub.zoom.us/j/97753107489
Speaker: Federico Sau, University of Milan, Italy.
Title: Spectral gap of stochastic exchange models.
Abstract: In this talk, we present a simple strategy to derive bounds for the spectral gap of a class of continuous-spin stochastic exchange models from (nonequilibrium) statistical mechanics and econophysics, which include the Kipnis-Marchioro-Presutti model, the harmonic process, and the immediate exchange model. These bounds are universal, as they hold on arbitrary graphs. We shall go through the proof's main steps, which crucially exploits the rigidity of the eigenstructure of these models and quantitative contraction rates of a closely related family of "hidden parameter models". Based on the preprint arXiv:2505.02400 (joint with S. Kim and M. Quattropani).
Objectives of the Al-Khwarizmi seminar: to share knowledge, problems, methods among researchers in applied mathematics from different backgrounds and countries.
Seminar details: the seminar occurs online every two weeks (Zoom link: https://ksu-hub.zoom.us/j/97753107489), with each talk lasting 50 minutes, followed by a 20-minute Q&A session.
Organizers: under the guidance of an international scientific committee, the webinar is led by researchers from Tunisian and Saudi universities (see our committee members).
Flexibility and collaboration: we aim at fostering collaborations and potential research projects or publications among researchers from all over the world, thus everyone is welcome to suggest a talk by sending a message to any of these emails: rafik.aguech@ipeit.rnu.tn, nabil.gmati@enit.utm.tn, wissem.jedidi@fst.utm.tn, aalhammali@iau.edu.sa
Support: AGALab-Monastir, LAMSIN-Tunis, the Mediterranean Institute for the Mathematical Sciences, and the Tunisian Mathematical Society.