3 papers
math.PR2025
Flow equation approach to singular stochastic PDEs
PaweÅ Duch
We prove universality of a macroscopic behavior of solutions of a large class of semi-linear parabolic SPDEs on with fractional Laplacian $(-Î)^{Ï/…
math.PR2025
Renormalization of singular elliptic stochastic PDEs using flow equation
PaweÅ Duch
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…
math-ph2024
Construction of Gross-Neveu model using Polchinski flow equation
PaweÅ Duch
The Gross-Neveu model is a quantum field theory model of Dirac fermions in two dimensions with a quartic interaction term. Like Yang-Mills theory in four dimensions, the model is s…