Results 41 to 50 of about 486 (190)
Eigenvalues of an elliptic system
, 2003 We describe the spectrum of a non-self-adjoint elliptic system on a finite interval. Under certain conditions we find that the eigenvalues form a discrete set and converge asymptotically at infinity to one of several straight lines.
Davies, E B
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Singular Asymptotic Expansions for Dirichlet Eigenvalues and Eigenfunctions of the Laplacian on Thin Planar Domains [PDF]
, 2009 summary:We consider the Laplacian in a domain squeezed between two parallel hypersurfaces in Euclidean spaces of any dimension, subject to Dirichlet boundary conditions on one of the hypersurfaces and Neumann boundary conditions on the other.
Krejčiřík, David +2 more
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Quantum‐Mechanical Wave Functions in Singular Potentials: Linear and Nonlinear States
Advanced Physics Research, Volume 5, Issue 10, October 2026.The attractive singular potential −1/r2$-1/r^2$ gives rise to the quantum collapse in the 3D linear Schroedinger equation. The article summarizes theoretical results demonstrating suppression of the collapse and creation of the missing ground state (GS) in a gas of bosonic particles, carrying an electric dipole moment, which are pulled to the central ...
Hidetsugu Sakaguchi, Boris A. Malomed
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Localization of eigenfunctions in the Dirichlet beaker [PDF]
We construct the asymptotics of the eigenpairs of the Dirichlet problem for the Laplace operator in a thin-walled beaker and prove the localization effect for the functions near the bottom edge, a smooth closed contour, of the beaker. The main asymptotic
Cardone G., Nazarov S. A., Taskinen J.
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Geometric spectral properties of electromagnetic waveguides
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We consider a homogeneous, isotropic electromagnetic waveguide with simply connected cross‐section embedded in a perfect conductor. We investigate the influence of geometric deformations, namely bending and twisting, on the real spectrum of the associated self‐adjoint Maxwell operator. We first establish sufficient conditions on the asymptotic
Philippe Briet +3 more
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Statistical Quantum Mpemba Effect From Griffiths Rare Regions
Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.The statistical quantum Mpemba effect emerges robustly in disordered open quantum systems. Griffiths rare regions generate a hierarchy of relaxation times that simple extended Bloch states naturally probe, without requiring fine‐tuned initial states or detailed knowledge of the Liouvillian spectrum.
Stefano Longhi
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Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
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Restriction of eigenfunctions to totally geodesic submanifolds
, 2022 This article is about two types of restrictions of eigenfunctions $\phi_j$ on a compact Riemannian manifold $(M,g)$: First, we restrict to a submanifold $H \subset M$, and expand the restriction $\gamma_H \phi_j$ in eigenfunctions $e_k$ of $H$.
Zelditch, Steve
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Local transparent boundary conditions for wave propagation in fractal trees (ii): error and complexity analysis [PDF]
, 2021 International audienceThis work is dedicated to a refined error analysis of the high-order transparent boundary conditions introduced in the companion work [8] for the weighted wave equation on a fractal tree. The construction of such boundary conditions
Kachanovska, Maryna +3 more
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Intraday Functional PCA Forecasting of Cryptocurrency Returns
Journal of Forecasting, Volume 45, Issue 5, Page 2186-2212, August 2026.ABSTRACT We study the functional PCA (FPCA) forecasting method in application to functions of intraday returns on Bitcoin. We show that improved interval forecasts of future return functions are obtained when the conditional heteroscedasticity of return functions is taken into account.
Joann Jasiak, Cheng Zhong
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