# Renormalization of singular elliptic stochastic PDEs using flow equation

@inproceedings{Duch2022RenormalizationOS, title={Renormalization of singular elliptic stochastic PDEs using flow equation}, author={Paweł Duch}, year={2022} }

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.

## 2 Citations

### A stochastic analysis of subcritical Euclidean fermionic field theories

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Building on previous work on the stochastic analysis for Grassmann random variables, we introduce a forward-backward stochastic diﬀerential equation (FBSDE) which provides a stochastic quantisation…

### Hopf and pre-Lie algebras in regularity structures

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These lecture notes aim to present the algebraic theory of regularity structures as developed in [Hai14, BHZ19, BCCH21]. The main aim of this theory is to build a systematic approach to…

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