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KPZ equation in one dimension and line ensembles

Herbert Spohn
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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.

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Herbert Spohn. 2005-04-22. KPZ equation in one dimension and line ensembles. https://doi.org/10.1007/bf02704147

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