Results 61 to 70 of about 14,965,840 (158)

Universality for fluctuations of counting statistics of random normal matrices

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We consider the fluctuations of the number of eigenvalues of n×n$n\times n$ random normal matrices depending on a potential Q$Q$ in a given set A$A$. The eigenvalues of random normal matrices are known to form a determinantal point process, and are known to accumulate on a compact set called the droplet under mild conditions on Q$Q$. When A$A$
Jordi Marzo, Leslie Molag, Joaquim Ortega‐Cerdà   +2 more
wiley   +1 more source

Coordinate‐ and Spacetime‐Independent Quantum Physics

Annalen der Physik, Volume 538, Issue 1, January 2026.
This article studies in the framework of quantum field theory in curved spacetime, if there exists a single zero‐rank‐tensor solution of a Klein‐Gordon PDE, being valid at once for the depicted spacetimes. The answer is shown to be affirmative, even for a class of such solutions having the standard applications in particle physics. ABSTRACT The concept
Viacheslav A. Emelyanov, Daniel Robertz
wiley   +1 more source

Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data

Journal of Mathematics and Physics
Recently, research about nonlocal integrable systems has become a popular topic. Here, we mainly use the Riemann–Hilbert (RH) approach to discuss the nonlocal complex modified Korteweg–de Vries (cmKdV) equation with step-like initial value.
Ling Zhang, Beibei Hu, Zu-Yi Shen
semanticscholar   +1 more source

Quantum GraviElectro Dynamics

Annalen 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

Properties of Matrix Orthogonal Polynomials via their Riemann-Hilbert Characterization

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We give a Riemann-Hilbert approach to the theory of matrix orthogonal polynomials. We will focus on the algebraic aspects of the problem, obtaining difference and differential relations satisfied by the corresponding orthogonal polynomials.
F. Alberto Grünbaum, Manuel D. de la Iglesia, Andrei Martínez-Finkelshtein   +2 more
doaj   +1 more source

On the Noisy Road to Open Quantum Dynamics: The Place of Stochastic Hamiltonians

Annalen der Physik, Volume 538, Issue 1, January 2026.
Stochastic Hamiltonian formulations of open quantum dynamics are revisited, highlighting their roots in stochastic calculus. The connections among stochastic Hamiltonians, stochastic Schrödinger equations, and master‐equation approaches are made explicit.
Pietro De Checchi, Federico Gallina, Barbara Fresch, Giulio G. Giusteri   +3 more
wiley   +1 more source

No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system

Asian Journal of Control, Volume 28, Issue 1, Page 312-324, January 2026.
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi, Mohammed Messaoudi, Thabet Abdeljawad, Fahd Jarad   +3 more
wiley   +1 more source

Logarithmic capacity and Riemann and Hilbert problems for generalized analytic functions

Доповiдi Нацiональної академiї наук України
The study of the Dirichlet problem with arbitrary measurable boundary data for harmonic functions in the unit disk is due to the famous Luzin dissertation.
V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov, A.S. Yefimushkin   +3 more
doaj   +1 more source

Application of the Riemann–Hilbert approach to the multicomponent AKNS integrable hierarchies

Nonlinear Analysis: Real World Applications, 2019
A class of Riemann–Hilbert problems on the real axis is formulated for solving the multicomponent AKNS integrable hierarchies associated with a kind of bock matrix spectral problems.
W. Ma
semanticscholar   +1 more source

On boundary-value problems for generalized analytic and harmonic functions

Доповiдi Нацiональної академiї наук України
The present paper is a natural continuation of our last articles on the Riemann, Hilbert, Dirichlet, Poincaré, and, in particular, Neumann boundary-value problems for quasiconformal, analytic, harmonic functions and the so-called A-harmonic functions ...
V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov, A.S. Yefimushkin   +3 more
doaj   +1 more source