Construction of $\Phi^4_3$ diagrams for pedestrians
  We aim to give a pedagogic and essentially 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 paraproducts. The emphasis is on describing the stochastic objects themselves rather than introducing a solution theory for the equation. 
Jean-Christophe Mourrat, Hendrik Weber, Weijun Xu
math.PR math-ph math.MP