PDE/Probability Interactions: Particle Systems, Hyperbolic Conservation Laws / Interactions EDP/Probabilités : systèmes de particules, lois de conservation hyperboliques

Probabilités : systèmes de particules, lois de conservation hyperboliques

Organisateur(s) Caputo, Pietro ; Fathi, Max ; Guillin, Arnaud ; Reygner, Julien

Date(s) 14/10/2019 - 18/10/2019

URL associée https://conferences.cirm-math.fr/2083.html

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Cutoff phenomenon for the asymmetric simple exclusion process

I will consider the asymmetric simple exclusion process on a linear lattice of N sites, and I will present a result on the asymptotic (in N) behaviour of the distance to equilibrium of this process starting from the "worst" initial condition. This result shows a cutoff phenomenon: instead of decaying smoothly with time, the distance to equilibrium falls abruptly at some deterministic time. This is a joint work with Hubert Lacoin (IMPA).

Informations sur la vidéo

Date de captation 14/10/2019
Date de publication 04/11/2019
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Luca Recanzone
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19570303
Citer cette vidéo Labbé, Cyril (14/10/2019). Cutoff phenomenon for the asymmetric simple exclusion process. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19570303
URL https://dx.doi.org/10.24350/CIRM.V.19570303

Domaine(s)

Bibliographie

LABBÉ, Cyril, LACOIN, Hubert, et al. Cutoff phenomenon for the asymmetric simple exclusion process and the biased card shuffling. The Annals of Probability, 2019, vol. 47, no 3, p. 1541-1586. - https://hal.archives-ouvertes.fr/hal-01428017