Results 1 to 10 of about 94,442 (230)
Riemann-Hilbert problem for Hurwitz Frobenius manifolds: regular singularities [PDF]
Letters in Mathematical Physics, 2013 In this paper we study the Fuchsian Riemann-Hilbert (inverse monodromy) problem corresponding to Frobenius structures on Hurwitz spaces. We find a solution to this Riemann-Hilbert problem in terms of integrals of certain meromorphic differentials over a ...
A. Kitaev +19 more
core +4 more sources
The Riemann–Hilbert Problem for Holonomic Systems
Publications of the Research Institute for Mathematical Sciences, 1984 Let X be a paracompact complex manifold of dimension n, \(X_{{\mathbb{R}}}\) the underlying real analytic manifold and \(\bar X\) the complex conjugate of X. Let \({\mathcal D}_ X\) and \({\mathcal O}_ X\) be the sheaf of differential operators and holomorphic functions. The ring \({\mathcal A}_{X_{{\mathbb{R}}}}\) and \({\mathcal D}_{X_{{\mathbb{R}}}}\
Masaki Kashiwara
semanticscholar +5 more sources
The tacnode Riemann-Hilbert problem [PDF]
Constructive Approximation, 2013 The tacnode Riemann-Hilbert problem is a 4 x 4 matrix valued RH problem that appears in the description of the local behavior of two touching groups of non-intersecting Brownian motions. The same RH problem was also found by Duits and Geudens to describe
Kuijlaars, Arno
core +3 more sources
Mathematics, 2021 A method of the Riemann–Hilbert problem is employed for Zhang’s conjecture 2 proposed in Philo. Mag. 87 (2007) 5309 for a ferromagnetic three-dimensional (3D) Ising model in a zero external magnetic field.
Zhidong Zhang, Osamu Suzuki
doaj +2 more sources
Fractal and FractionalThe Lax pairs of the higher-order Gerdjikov–Ivanov (HOGI) equation are extended to the multi-component formula. Then, we first derive four different types of nonlocal group reductions to this new system.
Jinshan Liu +3 more
doaj +2 more sources
The Riemann–Hilbert problem for nonsymmetric systems [PDF]
Journal of Mathematical Physics, 1991 A comparison of the Riemann–Hilbert problem and the Wiener–Hopf factorization problem arising in the solution of half-space singular integral equations is presented. Emphasis is on the factorization of functions lacking the reflection symmetry usual in transport theory.
William Greenberg +2 more
openalex +5 more sources
A Riemann–Hilbert problem for uncoupled BPS structures [PDF]
Manuscripta mathematica, 2019 We study the Riemann–Hilbert problem attached to an uncoupled BPS structure proposed by Bridgeland in (“Riemann–Hilbert problems from Donaldson–Thomas theory I”).
Anna Barbieri
openalex +3 more sources
Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem
Symmetry, Integrability and Geometry: Methods and Applications, 2007 A GBDT version of the Bäcklund-Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models. The corresponding Riemann-Hilbert problem is treated and some explicit formulas
Alexander Sakhnovich
doaj +2 more sources
Riemann-Hilbert problem, integrability and reductions [PDF]
Journal of Geometric Mechanics, 2019 The present paper is dedicated to integrable models with Mikhailov reduction groups \begin{document}$G_R \simeq \mathbb{D}_h.$\end{document} Their Lax representation allows us to prove, that their solution is equivalent to solving Riemann-Hilbert ...
V. Gerdjikov, R. Ivanov, A. Stefanov
semanticscholar +7 more sources
SOLVABILITY HOMOGENEOUS RIEMANN-HILBERT BOUNDARY VALUE PROBLEM WITH SEVERAL POINTS OF TURBULENCE
Проблемы анализа, 2018 We consider the so called Hilbert boundary value problem with infinite index in the unit disk. Its coefficient is assumed to be H¨older-continuous everywhere on the unit circle excluding a finite set of points.
Fatykhov A . Kh ., Shabalin P . L .
doaj +2 more sources