English
Multi-time distribution of periodic TASEP
Multi angle
Auteurs : Baik, Jinho (Auteur de la Conférence)
CIRM (Editeur )
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
82C22 - Interacting particle systems
82C43 - Time-dependent percolation
CIRM (Editeur )
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Résumé :
We consider periodic TASEP with periodic step initial condition, and evaluate the joint distribution of the locations of m particles. For arbitrary indices and times, we find a formula for the multi-time, multi-space joint distribution in terms of an integral of a Fredholm determinant. We then discuss the large time limit in the so-called relaxation scale. The one-point distributions for other initial conditions are also going to discussed.
Based on joint work with Zhipeng Liu (NYU).
Codes MSC : Based on joint work with Zhipeng Liu (NYU).
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
82C22 - Interacting particle systems
82C43 - Time-dependent percolation
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 04/05/2017 Date de captation : 26/04/2017 Sous collection : Research talks arXiv category : Probability ; Mathematical Physics Domaine : Mathematical Physics ; Probability & Statistics Format : MP4 (.mp4) - HD Audience : Researchers Download : https://videos.cirm-math.fr/2017-04-27_Baik.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 KPZOrganisateurs de la rencontre : Alberts, Tom ; Bakhtin, Yuri ; Cator, Eric ; Dolgopyat, Dmitry ; Khanin, Konstantin ; Shlosman, Senya Dates : 24/04/17 - 28/04/2017 Année de la rencontre : 2017 URL Congrès : https://www.chairejeanmorlet.com/1558.html
Données de citation
DOI : 10.24350/CIRM.V.19161903Citer cette vidéo: Baik, Jinho (2017). Multi-time distribution of periodic TASEP. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19161903 URI : http://dx.doi.org/10.24350/CIRM.V.19161903 |
Voir aussi
- [Multi angle] A 2d growth model in the anisotropic KPZ class / Auteur de la Conférence Toninelli, Fabio.
- [Multi angle] Low temperature interfaces and level lines in the critical prewetting regime / Auteur de la Conférence Ioffe, Dmitry.
- [Multi angle] Tilings and non-intersecting paths beyond integrable cases / Auteur de la Conférence Gorin, Vadim.
- [ Post-edited] Weak universality of the KPZ equation with arbitrary nonlinearities / Auteur de la Conférence Hairer, Martin.
Bibliographie
- Baik, J., Liu, Z. (2017). Fluctuations of TASEP on a ring in relaxation time scale. Journal of Statistical Physics, 165(6), 1051-1085 - http://dx.doi.org/10.1007/s10955-016-1665-y
