English
A 2d growth model in the anisotropic KPZ class
Multi angle
Auteurs : ... (Auteur de la conférence)
... (Editeur )
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
82C20 - Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
... (Editeur )
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Résumé :
Dimer models provide natural models of (2+1)-dimensional random discrete interfaces and of stochastic interface dynamics. I will discuss two examples of such dynamics, a reversible one and a driven one (growth process). In both cases we can prove the convergence of the stochastic interface evolution to a deterministic PDE after suitable (diffusive or hyperbolic respectively in the two cases) space-time rescaling.
Based on joint work with B. Laslier and M. Legras.
Codes MSC : Based on joint work with B. Laslier and M. Legras.
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
82C20 - Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
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Informations sur la Vidéo
Langue : AnglaisDate de Publication : 04/05/2017 Date de Captation : 25/04/2017 Sous Collection : Research talks Catégorie arXiv : Probability ; Mathematical Physics Domaine(s) : Probabilités & Statistiques ; Physique Mathématique Format : MP4 (.mp4) - HD Audience : Chercheurs Download : https://videos.cirm-math.fr/2017-04-25_Toninelli.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Jean-Morlet Chair: Qualitative methods in KPZ universality / Chaire Jean Morlet : Méthodes qualitatives dans la classe d'universalité KPZDates : 24/04/2017 - 28/04/2017 Année de la rencontre : 2017 URL de la Rencontre : https://www.chairejeanmorlet.com/1558.html
Données de citation
DOI : 10.24350/CIRM.V.19161703Citer cette vidéo: (2017). A 2d growth model in the anisotropic KPZ class. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19161703 URI : http://dx.doi.org/10.24350/CIRM.V.19161703 |
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Bibliographie
- Laslier, B., & Toninelli, F.B. (2017). Lozenge tiling dynamics and convergence to the hydrodynamic equation.
- Legras, M., & Toninelli, F.L. (2017). Hydrodynamic limit and viscosity solutions for a 2D growth process in the anisotropic KPZ class.
