English

Higher order Lions-Taylor expansions

Probability 2024-05-16 v2

Abstract

In this paper, we provide some of the necessary mathematics to describe higher order Lions-Taylor expansions. The Lions derivative of a functional on the Wasserstein space of measures quantifies infinitesimal perturbations on measures in terms of infinite variation on a linear space of random variables.

Keywords

Cite

@article{arxiv.2303.17571,
  title  = {Higher order Lions-Taylor expansions},
  author = {William Salkeld},
  journal= {arXiv preprint arXiv:2303.17571},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2203.01185

R2 v1 2026-06-28T09:41:48.510Z