Jean-Morlet Chair: Qualitative methods in KPZ universality / Chaire Jean Morlet : Méthodes qualitatives dans la classe d'universalité KPZ

Collection Jean-Morlet Chair: Qualitative methods in KPZ universality / Chaire Jean Morlet : Méthodes qualitatives dans la classe d'universalité KPZ

Organizer(s) Alberts, Tom ; Bakhtin, Yuri ; Cator, Eric ; Dolgopyat, Dmitry ; Khanin, Konstantin ; Shlosman, Senya

Date(s) 24/04/2017 - 28/04/2017

linked URL https://www.chairejeanmorlet.com/1558.html

00:00:00 / 00:00:00

2 7

A 2d growth model in the anisotropic KPZ class

By Fabio Toninelli

Also appears in collection : ECM 2024 Plenary Speakers

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.

Information about the video

Date of recording 25/04/2017
Date of publication 04/05/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19161703
Cite this video Toninelli, Fabio (25/04/2017). A 2d growth model in the anisotropic KPZ class. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19161703
URL https://dx.doi.org/10.24350/CIRM.V.19161703

Domain(s)

Bibliography

Laslier, B., & Toninelli, F.B. (2017). Lozenge tiling dynamics and convergence to the hydrodynamic equation. <arxiv:1701.05100> - https://arxiv.org/abs/1701.05100
Legras, M., & Toninelli, F.L. (2017). Hydrodynamic limit and viscosity solutions for a 2D growth process in the anisotropic KPZ class. <arXiv:1704.06581> - https://arxiv.org/abs/1704.06581

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

46:14

published on May 4, 2017

Low temperature interfaces and level lines in the critical prewetting regime

By Dmitry Ioffe

52:42

published on May 4, 2017

A 2d growth model in the anisotropic KPZ class

By Fabio Toninelli

50:11

published on May 4, 2017

Tilings and non-intersecting paths beyond integrable cases

By Vadim Gorin

published on June 9, 2017

Interview at CIRM: Martin Hairer

By Martin Hairer

44:49

published on May 4, 2017

Multi-time distribution of periodic TASEP

By Jinho Baik

54:30

published on May 4, 2017

Weak universality of the KPZ equation with arbitrary nonlinearities

By Martin Hairer

18:52

published on August 1, 2017

Interview at CIRM: Konstantin Khanin

By Konstantin Khanin

Copyright Carmin.tv 2024

Give feedback