Multigraphs and Time Ordered Isserlis-Wick formulae
Probability
2026-01-27 v2 Mathematical Physics
Combinatorics
math.MP
Abstract
Given a m-dimensional Gaussian process and polynomial m variables with real coefficients, we calculate the induced path odered exponenial in two different ways: one is purely algebraic in spirit and the other one is diagrammatic in spirit and uses multigraph labelings (and is inspired by the use of Feynman diagrams in quantum field theory).
Keywords
Cite
@article{arxiv.2512.23845,
title = {Multigraphs and Time Ordered Isserlis-Wick formulae},
author = {Sergio Cacciatori and Batu Güneysu and Sebastian Wündsch},
journal= {arXiv preprint arXiv:2512.23845},
year = {2026}
}
Comments
Introduction and Example 2.5 have been extended