On the origins of Riemann–Hilbert problems in mathematics*

DOI10.1088/1361-6544/abb543zbMath1462.30070arXiv2003.14374OpenAlexW3015031586WikidataQ114096656 ScholiaQ114096656MaRDI QIDQ4986201

Thomas Bothner

Publication date: 27 April 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.14374

zbMATH Keywords

singular integral equationsRiemann-Hilbert problemmonodromy groupdefocusing nonlinear Schrödinger equationFuchsian systemsPainlevé-II equationHilbert's 21st problem

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Boundary value problems in the complex plane (30E25) Asymptotics of solutions to integral equations (45M05)

Related Items

Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel ⋮ Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular \(\beta\)-ensemble and double confluent Heun equation ⋮ Integrability in the weak noise theory ⋮ Universality for multiplicative statistics of Hermitian random matrices and the integro-differential Painlevé II equation ⋮ Integrable equations associated with the finite‐temperature deformation of the discrete Bessel point process ⋮ On the integrable structure of deformed sine kernel determinants ⋮ Noether property and approximate solution of the Riemann boundary value problem on closed curves ⋮ Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations ⋮ Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials

Uses Software

• DLMF

Cites Work

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