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arXiv · 2609.40352

Half-space KPZ equation from a class of nonlinear SPDEs

Kevin Yang
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Abstract

We derive the half-space KPZ equation as a continuum limit from a general class of Ginzburg-Landau SPDEs under weak nonlinearity scaling. To our knowledge, this is the first half-space universality result for the KPZ equation beyond integrable models (and their perturbations).

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Kevin Yang. 2026-09-30. Half-space KPZ equation from a class of nonlinear SPDEs. https://arxiv.org/abs/2609.40352

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