On Fredholm Pfaffians and Riemann-Hilbert problems

Thomas  Bothner; Amari E.M. Jaconelli

On Fredholm Pfaffians and Riemann-Hilbert problems

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

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.

Original language	English
Title of host publication	KIAS Springer Series in Mathematics
Publisher	Springer
Number of pages	36
Publication status	Accepted/In press - 28 May 2026
Event	Universality, Nonlinearity, and Integrability - Seoul, Korea, Democratic People's Republic of Duration: 12 May 2025 → 16 May 2025 https://sites.google.com/view/deift2025

Publication series

Name	KIAS Springer Series in Mathematics
Publisher	Springer
ISSN (Print)	2731-5142
ISSN (Electronic)	2731-5150

Conference

Conference	Universality, Nonlinearity, and Integrability
Country/Territory	Korea, Democratic People's Republic of
City	Seoul
Period	12/05/25 → 16/05/25
Internet address	https://sites.google.com/view/deift2025

Keywords

Fredholm Pfaﬃans
Riemann-Hilbert problems
asymptotic analysis

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title = "On Fredholm Pfaffians and Riemann-Hilbert problems",

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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TY - GEN

T1 - On Fredholm Pfaffians and Riemann-Hilbert problems

AU - Bothner, Thomas

AU - Jaconelli, Amari E.M.

PY - 2026/5/28

Y1 - 2026/5/28

N2 - 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.

AB - 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.

KW - Fredholm Pfaﬃans

KW - Riemann-Hilbert problems

KW - asymptotic analysis

M3 - Conference Contribution (Conference Proceeding)

T3 - KIAS Springer Series in Mathematics

BT - KIAS Springer Series in Mathematics

PB - Springer

T2 - Universality, Nonlinearity, and Integrability

Y2 - 12 May 2025 through 16 May 2025

ER -

On Fredholm Pfaffians and Riemann-Hilbert problems

Abstract

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Conference

Keywords

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