2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113756In this note we outline some novel connections between the following fields: 1) Convolution calculus on white noise spaces 2) Pseudo-differential operators and Lévy processes on infinite dimensional spaces 3) Feynman graph representations of convolution semigroups 4) generalized renormalization group flows and 5) the thermodynamic limit of particle systems.8 pages 1 figureMathematical Physics82B28, 60H40Convolution calculus on white noise spaces and Feynman graph representation of generalized renormalization flowstext