Results 61 to 70 of about 94,442 (230)
A Riemann-Hilbert approach to rotating attractors
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
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
A scalar Riemann-Hilbert problem on the torus: Applications to the KdV equation [PDF]
Mateusz Piorkowski, Gerald Teschl
openalex +1 more source
Riemann–Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions [PDF]
Jin-Jie Yang +2 more
semanticscholar +1 more source
Global Geometric Aspects of Riemann–Hilbert Problems [PDF]
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
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
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
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
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]
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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