Anisotropic KPZ growth in 2+1 dimensions: fluctuations and covariance   structure
  In [arXiv:0804.3035] we studied an interacting particle system which can be also interpreted as a stochastic growth model. This model belongs to the anisotropic KPZ class in 2+1 dimensions. In this paper we present the results that are relevant from the perspective of stochastic growth models, in particular: (a) the surface fluctuations are asymptotically Gaussian on a sqrt(ln(t)) scale and (b) the correlation structure of the surface is asymptotically given by the massless field. 
Patrik L. Ferrari (1) and Alexei Borodin (2) ((1) Bonn University, (2)   Caltech)