Results 41 to 50 of about 1,319 (203)
Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices [PDF]
Opuscula Mathematica, 2020 We investigate a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. Our purpose is to establish the asymptotic expansion of large eigenvalues and to compute two correction terms explicitly.
Ayoub Harrat +2 more
doaj +1 more source
Journal of Computational and Applied Mathematics, 2001 This paper surveys and extends recent work on the connections between formal orthogonal polynomials, complex Jacobi continued fractions (\(J\)-fractions) and spectral properties of the underlying infinite complex symmetric tridiagonal (Jacobi) matrix. Special emphasis is given to unbounded recurrence coefficients.
openaire +1 more source
Finite gap Jacobi matrices: An announcement
Journal of Computational and Applied Mathematics, 2009 17 pages, 2 ...
Christiansen, Jacob S. +2 more
openaire +4 more sources
Photon‐Sphere Modes in Curved Optical Microcavities: A Black‐Hole Analogue Laser
Advanced Science, EarlyView.An optical analogue of a Schwarzschild black hole is realized using curved microcavities that preserve light‐like geodesics. A new family of laser modes confined around the photon sphere is identified alongside conventional whispering‐gallery modes. Analytical theory, numerical simulations, and experiments reveal curvature‐induced confinement, enabling
Chenni Xu +9 more
wiley +1 more source
Conformal Reconfigurable Intelligent Surfaces: A Cylindrical Geometry Perspective
Advanced Electronic Materials, EarlyView.Cylindrical reconfigurable intelligent surfaces are explored for low‐complexity beam steering using one‐bit meta‐atoms. A multi‐level modeling approach, including optimization‐based synthesis, demonstrates that even minimal hardware can support directive scattering.
Filippo Pepe +4 more
wiley +1 more source
Optimal dividends for a NatCat insurer in the presence of a climate tipping point
Canadian Journal of Statistics, EarlyView.Abstract We study optimal dividend strategies for an insurance company facing natural catastrophe claims, anticipating the arrival of a climate tipping point after which the claim intensity and/or the claim size distribution of the underlying risks deteriorates irreversibly.
Hansjörg Albrecher +2 more
wiley +1 more source
A study of resolvent set for a class of band operators with matrix elements
Concrete Operators, 2016 For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations.
Osipov Andrey
doaj +1 more source
IEEE Access, 2020 Multimode/multicore fibers are expected to provide an attractive solution to overcome the capacity limit of the current optical communication system. In the presence of strong crosstalk between modes and/or cores, the squared singular values of the input/
Amor Nafkha, Nizar Demni
doaj +1 more source
Contributions to Plasma Physics, EarlyView.ABSTRACT Ab initio path integral Monte Carlo (PIMC) simulations constitute the gold standard for the estimation of a broad range of equilibrium properties of a host of interacting quantum many‐body systems spanning a broad range of conditions from ultracold atoms to warm dense quantum plasmas.
Paul Hamann +2 more
wiley +1 more source
Comparison Theorems for Single and Double Splittings of Matrices
Journal of Applied Mathematics, 2013 Some comparison theorems for the spectral radius of double splittings of different matrices under suitable conditions are presented, which are superior to the corresponding results in the recent paper by Miao and Zheng (2009).
Cui-Xia Li, Qun-Fa Cui, Shi-Liang Wu
doaj +1 more source