Results 61 to 70 of about 94,442 (230)

A Riemann-Hilbert approach to rotating attractors

open access: yesJournal of High Energy Physics, 2017
We construct rotating extremal black hole and attractor solutions in gravity theories by solving a Riemann-Hilbert problem associated with the Breitenlohner-Maison linear system. By employing a vectorial Riemann-Hilbert factorization method we explicitly
M. C. Câmara   +3 more
doaj   +1 more source

Kubo-Martin-Schwinger relation for an interacting mobile impurity

open access: yesPhysical Review Research, 2023
In this work we study the Kubo-Martin-Schwinger (KMS) relation in the Yang-Gaudin model of an interacting mobile impurity. We use the integrability of the model to compute the dynamic injection and ejection Green's functions at finite temperatures.
Oleksandr Gamayun   +2 more
doaj   +1 more source

Global Geometric Aspects of Riemann–Hilbert Problems [PDF]

open access: yesgmj, 2001
Abstract We discuss some global properties of an abstract geometric model for Riemann–Hilbert problems introduced by the first author. In particular, we compute the homotopy groups of elliptic Riemann–Hilbert problems and describe some connections with the theory of Fredholm structures which enable one to introduce more subtle ...
Bojarski, B., Khimshiashvili, G.
openaire   +2 more sources

Dissipative energy functionals of passive linear time‐varying systems

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract The concept of dissipativity plays a crucial role in the analysis of control systems. Dissipative energy functionals, also known as Hamiltonians, storage functions, or Lyapunov functions, depending on the setting, are extremely valuable to analyze and control the behavior of dynamical systems, but in general circumstances they are very ...
Riccardo Morandin, Dorothea Hinsen
wiley   +1 more source

Weyl metrics and Wiener-Hopf factorization

open access: yesJournal of High Energy Physics, 2020
We consider the Riemann-Hilbert factorization approach to the construction of Weyl metrics in four space-time dimensions. We present, for the first time, a rigorous proof of the remarkable fact that the canonical Wiener-Hopf factorization of a matrix ...
P. Aniceto   +3 more
doaj   +1 more source

A Riemann–Hilbert problem for biorthogonal polynomials

open access: yesJournal of Computational and Applied Mathematics, 2005
We characterize the biorthogonal polynomials that appear in the theory of coupled random matrices via a Riemann-Hilbert problem. Our Riemann-Hilbert problem is different from the ones that were proposed recently by Ercolani and McLaughlin, Kapaev, and Bertola et al. We believe that our formulation may be tractable to asymptotic analysis.
Kuijlaars, A.B.J., McLaughlin, K.T.-R.
openaire   +2 more sources

Quantum GraviElectro Dynamics

open access: yesAnnalen der Physik, Volume 538, Issue 1, January 2026.
The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley   +1 more source

Exact Solutions for a Class of Matrix Riemann-Hilbert Problems [PDF]

open access: yes, 2011
Consider the matrix Riemann-Hilbert problem. In contrast to scalar Riemann-Hilbert problems, a general matrix Riemann-Hilbert problem cannot be solved in term of Sokhotskyi-Plemelj integrals.
Kucerovsky, K. (Kucerovsky)   +1 more
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