Abstract
In [16] Ferrari and Fontes proved the variance of the flux across a characteristic is sublinear in a asymmetric simple exclusion process (ASEP). In [22] and [3] Johansson, Baik and Deift gave the first rigorous proofs of the cube root fluctuations of the flux in last passage percolation models (Hammersley process andTasep). Since then a lot of attention have been given to the subject with…