Multi-time distribution of periodic TASEP | Vidéo | Carmin.tv

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Multi-time distribution of periodic TASEP

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

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).

Information about the video

Date of recording 26/04/2017
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.19161903
Cite this video Baik, Jinho (26/04/2017). Multi-time distribution of periodic TASEP. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19161903
URL https://dx.doi.org/10.24350/CIRM.V.19161903

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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

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