Renormalization of singular elliptic stochastic PDEs using flow equation
Probability
2025-02-12 v3 Mathematical Physics
math.MP
Abstract
We develop a solution theory for singular elliptic stochastic PDEs with fractional Laplacian, additive white noise and cubic non-linearity. The method covers the whole sub-critical regime. It is based on the Wilsonian renormalization group theory and the Polchinski flow equation.
Keywords
Cite
@article{arxiv.2201.05031,
title = {Renormalization of singular elliptic stochastic PDEs using flow equation},
author = {Paweł Duch},
journal= {arXiv preprint arXiv:2201.05031},
year = {2025}
}
Comments
36 pages, paper uses the method developed in arXiv:2109.11380, v2: typos corrected, v3: minor changes to match the published version