Dynamics of interacting particle systems

Oriane Blondel; Aurelia Deshayes; Cyril Labbé; Laure Marêché; Marielle Simon

doi:10.1051/proc/202068004

Geodesic

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Dynamics of interacting particle systems

Oriane Blondel ¹ ; Aurelia Deshayes ^2,³ ; Cyril Labbé ⁴ ; Laure Marêché ⁵ ; Marielle Simon ⁶

¹ Univ Lyon, CNRS, Université Claude Bernard Lyon 1, UMR5208, Institut Camille Jordan, F-69622 Villeurbanne, France,
² Université Paris-Est, Laboratoire d’Analyse et de Mathématiques Appliquées (UMR 8050), UPEM, UPEC, CNRS, F-94010, Créteil, France
³ Learning, Data & Robotics Lab - ESIEA, Paris, France
⁴ Université Paris-Dauphine, PSL Research University, Ceremade, CNRS, 75775 Paris Cedex 16, France
⁵ LPSM UMR 8001, Université Paris Diderot, Sorbonne Paris Cité, CNRS, 75013 Paris, France
⁶ Inria, Univ. Lille, CNRS, UMR 8524 - Laboratoire Paul Painlevé, F-59000 Lille, France

ESAIM. Proceedings, Tome 68 (2020), pp. 52-72.

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Résumé

We collect here recent results covering various aspects of the dynamical properties of interacting particle systems. In Section 1 we study the hydrodynamic limit of a facilitated exclusion process. Section 2 evidences a cutoff phenomenon for the mixing time of the weakly asymmetric exclusion process. Section 3 presents a study of the infection time in the Duarte model. Finally, Section 4 presents the study of a front propagation in the FA-If model.

DOI : 10.1051/proc/202068004

Affiliations des auteurs :

Oriane Blondel ¹ ; Aurelia Deshayes ^{2, 3} ; Cyril Labbé ⁴ ; Laure Marêché ⁵ ; Marielle Simon ⁶

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     title = {Dynamics of interacting particle systems},
     journal = {ESAIM. Proceedings},
     pages = {52--72},
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     volume = {68},
     year = {2020},
     doi = {10.1051/proc/202068004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202068004/}
}

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Oriane Blondel; Aurelia Deshayes; Cyril Labbé; Laure Marêché; Marielle Simon. Dynamics of interacting particle systems. ESAIM. Proceedings, Tome 68 (2020), pp. 52-72. doi : 10.1051/proc/202068004. http://geodesic.mathdoc.fr/articles/10.1051/proc/202068004/

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