An inversion formula for the 2-body interaction given the correlation functions
Mathematical Physics
2026-04-17 v1 math.MP
Probability
Abstract
Given a classical gas described by the truncated correlation functions of all orders, we prove convergence of an expansion of the pair interaction part of the (unknown) potential in terms of the truncated correlation functions of all orders, at infinite volume.
Cite
@article{arxiv.2604.14681,
title = {An inversion formula for the 2-body interaction given the correlation functions},
author = {Fabio Frommer and Tobias Kuna and Dimitrios Tsagkarogiannis},
journal= {arXiv preprint arXiv:2604.14681},
year = {2026}
}