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arXiv · 2511.23362

On Fredholm Pfaffians and Riemann-Hilbert problems

Thomas Bothner·Amari Jaconelli
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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.

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Thomas Bothner, Amari Jaconelli. 2025-11-28. On Fredholm Pfaffians and Riemann-Hilbert problems. https://arxiv.org/abs/2511.23362

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