Probability and Stochastic Analysis - University of Bonn

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

with Alexei Borodin.

In the linked paper 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))1/2 scale and (b) the correlation structure of the surface is asymptotically given by the massless field.

Postscript file: [PS]

PDF file: [PDF]

arXiv: 0811.0682