KPZ equation in one dimension and line ensembles

Abstract

For suitably discretized versions of the Kardar-Parisi-Zhang equation in one space dimension exact scaling functions are available, amongst them the stationary two-point function. We explain one central piece from the technology through which such results are obtained, namely the method of line ensembles with purely entropic repulsion.

Proceedings STATPHYS22, Bangalore, 2004

References in corpus (3)

• Discrete polynuclear growth and determinantal processes
• Exact scaling functions for one-dimensional stationary KPZ growth
• Fluctuations of a one-dimensional polynuclear growth model in a half space

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