On Fredholm Pfaffians and Riemann-Hilbert problems
Mathematical Physics
2025-12-01 v1 Functional Analysis
math.MP
Spectral Theory
Exactly Solvable and Integrable Systems
Abstract
It is shown how classes of Fredholm Pfaffians can be computed in terms of canonical, auxiliary Riemann-Hilbert problems as soon as the main kernel in the Pfaffian is either of additive Hankel composition or of truncated Wiener-Hopf type. Akhiezer-Kac asymptotic results for the Fredholm Pfaffians are then derived as natural consequences of the Riemann-Hilbert characterisation.
Keywords
Cite
@article{arxiv.2511.23362,
title = {On Fredholm Pfaffians and Riemann-Hilbert problems},
author = {Thomas Bothner and Amari Jaconelli},
journal= {arXiv preprint arXiv:2511.23362},
year = {2025}
}
Comments
36 pages, in honour of Percy Deift