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Half-space KPZ equation from a class of nonlinear SPDEs

Year: 2026

Type: preprint

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).

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.40352

Author: Yang, Kevin

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7215105532

Cites: 2

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Related to: 10