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A 2d growth model in the anisotropic KPZ class
Multi angle
Authors : Toninelli, Fabio (Author of the conference)
CIRM (Publisher )
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
82C20 - Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 04/05/2017 Conference Date : 25/04/2017 Subseries : Research talks arXiv category : Probability ; Mathematical Physics Mathematical Area(s) : Probability & Statistics ; Mathematical Physics Format : MP4 (.mp4) - HD Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-04-25_Toninelli.mp4 
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Information on the Event
Event Title : Jean-Morlet Chair: Qualitative methods in KPZ universality / Chaire Jean Morlet : Méthodes qualitatives dans la classe d'universalité KPZEvent Organizers : Alberts, Tom ; Bakhtin, Yuri ; Cator, Eric ; Dolgopyat, Dmitry ; Khanin, Konstantin ; Shlosman, Senya Dates : 24/04/2017 - 28/04/2017 Event Year : 2017 Event URL : https://www.chairejeanmorlet.com/1558.html
Citation Data
DOI : 10.24350/CIRM.V.19161703Cite this video as: Toninelli, Fabio (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 |
See Also
- [Multi angle] Multi-time distribution of periodic TASEP / Author of the conference Baik, Jinho.
- [Multi angle] Low temperature interfaces and level lines in the critical prewetting regime / Author of the conference Ioffe, Dmitry.
- [Multi angle] Tilings and non-intersecting paths beyond integrable cases / Author of the conference Gorin, Vadim.
- [Post-edited] Weak universality of the KPZ equation with arbitrary nonlinearities / Author of the conference Hairer, Martin.
Bibliography
- 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.
