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Cutoff phenomenon for the asymmetric simple exclusion process

By Cyril Labbé

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).

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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


  • 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

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