{ "id": "1610.08897", "version": "v1", "published": "2016-10-27T17:38:01.000Z", "updated": "2016-10-27T17:38:01.000Z", "title": "Construction of $Φ^4_3$ diagrams for pedestrians", "authors": [ "Jean-Christophe Mourrat", "Hendrik Weber", "Weijun Xu" ], "comment": "37 pages", "categories": [ "math.PR", "math-ph", "math.MP" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2016-10-27T17:38:01.000Z" } ], "analyses": { "subjects": [ "81T18", "81T08", "60H15" ], "keywords": [ "construction", "pedestrians", "solution theory", "self-contained presentation" ], "note": { "typesetting": "TeX", "pages": 37, "language": "en", "license": "arXiv", "status": "editable" } } }