M. Praehofer, H. Spohn
Current fluctuations for the totally asymmetric simple exclusion process
(240K, gzipped PS-file)

ABSTRACT.  The time-integrated current of the TASEP has non-Gaussian fluctuations 
of order $t^{1/3}$. The recently discovered connection to random 
matrices and the Painlev\'e 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.