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KPZ equation in one dimension and line ensembles

Research paper by Herbert Spohn

Indexed on: 22 Apr '05Published on: 22 Apr '05Published in: Physics - Disordered Systems and Neural Networks



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.