English

A short proof of Isserlis' theorem

Probability 2025-03-10 v2 Combinatorics

Abstract

We show that Isserlis' theorem follows as a corollary to the invariant tensor theorem for isotropic tensors.

Keywords

Cite

@article{arxiv.2503.01588,
  title  = {A short proof of Isserlis' theorem},
  author = {Hans Z. Munthe-Kaas and Olivier Verdier and Gilles Vilmart},
  journal= {arXiv preprint arXiv:2503.01588},
  year   = {2025}
}
R2 v1 2026-06-28T22:04:43.678Z