Fecha y hora: Jueves 12 de junio de 2025, 16:15hrs.
Lugar: Sala B05 (Beauchef 851, piso -1)
Speaker: Chunhui Zhu (Universidad de Chile)
Abstract: We consider the total asymmetric simple exclusion process (TASEP) on integer lattice $\mathbb{Z}$ with the linearly increasing initial density. In 1981, H. Rost proved that the particle density function of TASEP satisfies Burgers’ equation, so when the initial density is increasing, it will create shocks in the evolution. In our case, the shock is born at time $t^{*}>0$, and we investigate the limiting distribution of the location of the particle which is at the position of the shock at some $t^{*}$. Our method relies on a decomposition of the Fredholm determinant representation of the distribution of TASEP.
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