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Multi-time distribution of periodic TASEP
Multi angle
Authors : Baik, Jinho (Author of the conference)
CIRM (Publisher )
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
82C22 - Interacting particle systems
82C43 - Time-dependent percolation
CIRM (Publisher )
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Abstract :
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).
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 04/05/2017 Conference Date : 26/04/2017 Subseries : Research talks arXiv category : Probability ; Mathematical Physics Mathematical Area(s) : Mathematical Physics ; Probability & Statistics Format : MP4 (.mp4) - HD Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-04-27_Baik.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 : 24/04/17 - 28/04/2017 Event Year : 2017 Event URL : https://www.chairejeanmorlet.com/1558.html
Citation Data
DOI : 10.24350/CIRM.V.19161903Cite this video as: 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 |
See Also
- [Multi angle] A 2d growth model in the anisotropic KPZ class / Author of the conference Toninelli, Fabio.
- [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
- 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
