Current fluctuations for the totally asymmetric simple exclusion process
Praehofer, M. · Spohn, H.
Original · EN
The time-integrated current of the TASEP has non-Gaussian fluctuations of order t¹/³. The recently discovered connection to random matrices and the Painlevé II Riemann-Hilbert problem provides a technique through which we obtain the probability distribution of the current fluctuations, in particular their dependence on initial conditions, and the stationary two-point function. Some open problems are explained.
English translation
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