Probability and Stochastic Analysis - University of Bonn

Abstract of "KPZ universality class and the anchored Toom interface"

with Gerard Barkema, Joel Lebowitz and Herbert Spohn

We revisit the anchored Toom interface and use KPZ scaling theory to argue that the interface fluctuations are governed by the Airy1 process with the role of space and time interchanged. There is no free parameter. The predictions are numerically well confirmed for space-time statistics in the stationary state. In particular the spatial fluctuations of the interface are given by the GOE edge distribution of Tracy and Widom.

Postscript file: [PS]

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