PreprintarXiv licencearXiv
Half-space KPZ equation from a class of nonlinear SPDEs
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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BibTeX
@misc{yang2026halfspace,
title = {{Half-space KPZ equation from a class of nonlinear SPDEs}},
author = {Kevin Yang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.40352},
eprint = {2609.40352},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.40352},
}
RIS
TY - UNPB
TI - Half-space KPZ equation from a class of nonlinear SPDEs
AU - Kevin Yang
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2609.40352
UR - https://arxiv.org/abs/2609.40352
AB - 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).
ER -