Itô perspective on variance renormalisation

Konstantinos Dareiotis, Máté Gerencsér

We show that the Itô solutions of the nonlinear stochastic heat equation $${\partial }_t{u}^{\epsilon }-\Delta u^{\epsilon }={\epsilon }^{3/4}g(u^{\epsilon })\nabla {\xi }_{\epsilon },$$ w…