Séminaire de la Fédération PHYSTAT-SUD : Tomohiro Sasamoto


14:30 - 16:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405
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Fluctuations in the 1D Kardar-Parisi-Zhang equation and discrete analogues

Tomohiro SASAMOTO (Chiba University, Japan)


The Kardar-Parisi-Zhang (KPZ) equation is a non-linear stochastic partial differential equation which describes surface growth phenomena. Recently its one-dimensional version has attracted much attention because of several exciting experimental and theoretical developments [1]. 

In this talk we discuss the replica analysis of the KPZ equation and its discrete analogues. Starting from the basics of the KPZ equation and the replica analysis, we explain how one can utilize it for the analysis of the KPZ equation [2], where are the tricky parts, and how they are regularized in discrete models like q-TASEP [3]. 


[1] K.A. Takeuchi, M. Sano, T. Sasamoto and H. Spohn, Growing interfaces uncover universal fluctuations behind scale invariance, Sci. Rep. 1 (2011) 34.

[2] T. Imamura and T. Sasamoto, Exact solution for the stationary KPZ equation, Phys. Rev. Lett. 108 (2012) 190603.

[3] A. Borodin, I. Corwin and T. Sasamoto, From duality to determinants for q-TASEP and ASEP, arXiv:1207.5035.

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