Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume 38, Issue 33, Pages L549-L556Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/38/33/L01
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We study the spatial correlations of the one-dimensional KPZ surface for the flat initial condition. It is shown that the multi-point joint distribution for the height is given by a Fredholm determinant, with its kernel in the scaling limit explicitly obtained. This may also describe the dynamics of the largest eigenvalue in the GOE Dyson's Brownian motion model. Our analysis is based on a reformulation of the determinantal Green's function for the totally ASEP in terms of a vicious walk problem.
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