Renormalization of singular elliptic stochastic PDEs using flow equation

Published 13 Jan 2022 in math.PR, math-ph, and math.MP | (2201.05031v3)

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.

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Authors (1)

Paweł Duch

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