Anisotropic KPZ growth in 2 + 1 dimensions: fluctuations and covariance

In [5] 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 ln t scale and (b) the correlation structure of the surface is asymptotically given by the massless field.