Construction of $Φ^4_3$ diagrams for pedestrians

Jean-Christophe Mourrat, Hendrik Weber, Weijun Xu

Published 2016-10-27Version 1

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