Construction of ${\Phi }_3^4$ diagrams for pedestrians

Abstract

We aim to give a pedagogic and essentially self-contained presentation of the construction of various stochastic objects appearing in the dynamical ${\Phi }_3^4$ model. The construction presented here is based on the use of paraproducts. The emphasis is on describing the stochastic objects themselves rather than introducing a solution theory for the equation.

39 pages

References in corpus (1)

• Renormalization Group and Stochastic PDE's

Cited by in corpus (2)

• Weak universality for a class of 3d stochastic reaction-diffusion models
• An introduction to singular SPDEs