Cutoff phenomenon for the asymmetric simple exclusion process

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

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).

Information about the video

Date of recording 14/10/2019
Date of publication 04/11/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.19570303
Cite this video 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

Domain(s)

Bibliography

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