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arXiv · 1804.05721

Exactly solving the KPZ equation

Ivan Corwin
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Abstract

We present a complete proof of the exact formula for the one-point distribution for the narrow-wedge Hopf-Cole solution to the Kardar-Parisi-Zhang (KPZ) equation. This presentation is intended to be self-contained so no previous knowledge about stochastic PDEs, or exactly solvable systems is presumed.

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Ivan Corwin. 2018-04-16. Exactly solving the KPZ equation. https://arxiv.org/abs/1804.05721

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