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

Abstract

In Borodin and Ferrari (2008 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 √(ln t) scale and (b) the correlation structure of the surface is asymptotically given by the massless field.

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