Results 41 to 50 of about 44,310 (151)

The Hilbert problem in a half-plane for generalized analytic functions with a singular point on the real axis

Учёные записки Казанского университета: Серия Физико-математические науки
This article analyzes the inhomogeneous Hilbert boundary value problem for an upper half-plane with the finite index and boundary condition on the real axis for one generalized Cauchy–Riemann equation with a singular point on the real axis.
P. L. Shabalin, R. R. Faizov
doaj   +1 more source

The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation [PDF]

Opuscula Mathematica, 2017
The Cauchy problem for the Dullin-Gottwald-Holm (DGH) equation \[u_t-\alpha^2 u_{xxt}+2\omega u_x +3uu_x+\gamma u_{xxx}=\alpha^2 (2u_x u_{xx} + uu_{xxx})\] with zero boundary conditions (as \(|x|\to\infty\)) is treated by the Riemann-Hilbert approach to
Dmitry Shepelsky, Lech Zielinski
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Null octagon from Deift-Zhou steepest descent

Nuclear Physics B, 2022
A special class of four-point correlation functions in the maximally supersymmetric Yang-Mills theory is given by the square of the Fredholm determinant of a generalized Bessel kernel. In this note, we re-express its logarithmic derivatives in terms of a
A.V. Belitsky
doaj   +1 more source

A Riemann-Hilbert Problem for an Energy Dependent Schr\"odinger Operator

, 1997
\We consider an inverse scattering problem for Schr\"odinger operators with energy dependent potentials. The inverse problem is formulated as a Riemann-Hilbert problem on a Riemann surface.
Beals R, Beals R, Beals R, David H Sattinger, Deift P, Drazin P G, Fordy A P, Jacek Szmigielski, Jaulent M, Jaulent M, Jaulent M, Kaup D, Matveev V B, Novikov S P, Sachs R, Sachs R, Sattinger D H, Zakharov V E   +17 more
core   +1 more source

Elucidating the Physical and Mathematical Properties of the Prouhet‐Thue‐Morse Sequence in Quantum Computing

Annalen der Physik, Volume 538, Issue 4, April 2026.
The Prouhet‐Thue‐Morse (PTM) sequence emerges as a unifying thread across quantum error correction, noise‐resistant memories, spin‐chain dynamics, quantum chaos, and Dirichlet links to the Riemann zeta function. Mapping PTM‐encoded logical states onto qubit and qudit architectures uncovers symmetry‐protected resilience and multifractal signatures ...
Denis Janković, Rémi Pasquier, Jean‐Gabriel Hartmann, Paul‐Antoine Hervieux   +3 more
wiley   +1 more source

Tau functions as Widom constants

, 2017
We define a tau function for a generic Riemann-Hilbert problem posed on a union of non-intersecting smooth closed curves with jump matrices analytic in their neighborhood.
Chang-Duk Jun, Nam Hoon Cho, Sang A Park, Sang-Uk Seo, Sung Hwan Lee, Woo Jung Lee, Young-Min Hyun, Yunyun Zou   +7 more
core   +2 more sources

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Riemann-Hilbert problem for Hurwitz Frobenius manifolds: regular singularities

, 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, A. Kokotov, A.A. Bolibruch, A.R. Its, A.R. Its, B. Eynard, B.A. Dubrovin, C.F. Doran, D. Korotkin, Dmitry Korotkin, E. Belokolos, I.M. Krichever, L. Schlesinger, M. Jimbo, P.A. Deift, V. Shramchenko, V.B. Matveev, Vasilisa Shramchenko, W. Balser, W. Wasow   +19 more
core   +1 more source

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

Mathematische Nachrichten, Volume 299, Issue 4, Page 704-763, April 2026.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt, Markus Holzmann, Christian Stelzer‐Landauer   +2 more
wiley   +1 more source

Exact solutions of a local fractional nonisospectral complex mKdV equation based on Riemann–Hilbert method with time-varying spectrum

Alexandria Engineering Journal
This article combines the Riemann–Hilbert method with fractional power-law time-varying spectrum for the first time to solve a time fractional nonisospectral complex mKdV (tfniscmKdV) equation. Firstly, the tfniscmKdV equation and its associated Lax pair
Bo Xu, Sheng Zhang
doaj   +1 more source