Mourrat, Jean-Christophe; Weber, Hendrik; Xu, Weijun Construction of \(\Phi^4_3\) diagrams for pedestrians. (English) Zbl 1390.81266 Gonçalves, Patrícia (ed.) et al., From particle systems to partial differential equations. PSPDE IV, Braga, Portugal, December 16–18, 2015. Cham: Springer (ISBN 978-3-319-66838-3/hbk; 978-3-319-66839-0/ebook). Springer Proceedings in Mathematics & Statistics 209, 1-46 (2017). Summary: 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.For the entire collection see [Zbl 1387.81004]. Cited in 28 Documents MSC: 81S20 Stochastic quantization 81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry Keywords:Feynman diagrams; singular stochastic PDEs; stochastic quantisation; paraproducts PDFBibTeX XMLCite \textit{J.-C. Mourrat} et al., Springer Proc. Math. Stat. 209, 1--46 (2017; Zbl 1390.81266) Full Text: DOI arXiv