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DTSTART;TZID=Europe/Paris:20220405T140000
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DTSTAMP:20260424T152944
CREATED:20220404T060030Z
LAST-MODIFIED:20220404T072528Z
UID:8018-1649167200-1649172600@fermi.univ-tlse3.fr
SUMMARY:Riemann surfaces for the totally asymmetric simple exclusion process with open boundaries (Ulysse Godreau/ LPT / Seminar). - 05/04\, 14 H.
DESCRIPTION:Ulysse Godreau (LPT) \nAbstract : \nThe totally asymmetric exclusion process (TASEP) is a continuous time Markov process much studied in statistical physics featuring particles with hard-core interaction hopping randomly on a one dimensional lattice. \nThis talk will focus on the study of the fluctuations of the particle current in the TASEP with open boundaries in the thermodynamic limit. More precisely\, the eigenvalues of a deformation of the Markov matrix of the process\, connected to the cumulant generating function of the current\, are computed in two different ways. The first excited states are recovered from the ground state eigenvalue (obtained by matrix product ansatz) by analytic continuation. They are then compared with the asymptotics of the Bethe ansatz equations. The eigenstates are put in correspondence with the sheets of a Riemann surfaces\, which is the maximal domain of definition of the analytic continuation of the ground states. Connections are made with KPZ universality and previous results on the TASEP with periodic boundary conditions. \n 
URL:https://fermi.univ-tlse3.fr/event/riemann-surfaces-for-the-totally-asymmetric-simple-exclusion-process-with-open-boundaries-ulysse-godreau-lpt-seminar-05-04-14-h/
LOCATION:salle de séminaire 3ème étage\, Bâtiment 3r1 Université Toulouse III\, Toulouse\, 31400\, France
CATEGORIES:Events,LPT,Seminars
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