Results 11 to 20 of about 4,785 (188)

Entropy of Eigenfunctions [PDF]

open access: yes, 2009
We study the high--energy limit for eigenfunctions of the laplacian, on a compact negatively curved manifold. We review the recent result of Anantharaman-Nonnenmacher giving a lower bound on the Kolmogorov-Sinai entropy of semiclassical measures, and improve this lower bound in the case of variable negative curvature.
Anantharaman, Nalini   +2 more
openaire   +3 more sources

Concentration of symmetric eigenfunctions [PDF]

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2010
8 ...
Azagra, Daniel, Macia Lang, Fabricio
openaire   +4 more sources

The Regularized Trace Formula Of A Second Order Differentıal Equation Given With Anti-Perıodic Boundary Conditions

open access: yesCumhuriyet Science Journal, 2019
In this study, we examined the formula of the regularizedtrace of the self-adjoint operator which is formed bydifferentialexpression and anti-periodic boundary condition.
Seda Kızılbudak Çalışkan   +1 more
doaj   +1 more source

Analysis and methodology of determining the norm of eigenfunctions as a limit transition in the scalar product in the spectral Stourm-Louvile problem for a photonic one-dimensional crystal

open access: yesВісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка, 2023
Relevance The last of the decades (approximately from the 90s of the 20th century) to rapid grow of photonics. That's why, firstly, relevance this work is related to relevance diffraction problems for the structures of optics ranges (photonic crystal ...
О.V. Kazanko, О.E. Penkina
doaj   +1 more source

The nonlocal boundary value problem with perturbations of mixed boundary conditions for an elliptic equation with constant coefficients. I

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
In this article we investigate a problem with nonlocal boundary conditions which are multipoint perturbations of mixed boundary conditions in the unit square $G$ using the Fourier method. The properties of a generalized transformation operator $R: L_2(G)
Ya.O. Baranetskij   +3 more
doaj   +1 more source

Dynamical Transmission and Mathematical Analysis of Ebola Virus Using a Constant Proportional Operator with a Power Law Kernel

open access: yesFractal and Fractional, 2023
The Ebola virus continues to be the world’s biggest cause of mortality, especially in developing countries, despite the availability of safe and effective immunization.
Changjin Xu, Muhammad Farman
doaj   +1 more source

The nonlocal problem for the differential-operator equation of the even order with the involution

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
In this paper, the problem with boundary nonself-adjoint conditions for a differential-operator equations of the order $2n$ with involution is studied. Spectral properties of operator of the problem is investigated.
Ya.O. Baranetskij   +3 more
doaj   +1 more source

Eigenvalue Problem for a Reduced Dynamo Model in Thick Astrophysical Discs

open access: yesMathematics, 2023
Magnetic fields of different astrophysical objects are generated by the dynamo mechanism. Dynamo is based on the alpha-effect and differential rotation, which are described using a system of parabolic equations.
Evgeny Mikhailov, Maria Pashentseva
doaj   +1 more source

Matching the LBO Eigenspace of Non-Rigid Shapes via High Order Statistics

open access: yesAxioms, 2014
A fundamental tool in shape analysis is the virtual embedding of the Riemannian manifold describing the geometry of a shape into Euclidean space. Several methods have been proposed to embed isometric shapes into flat domains, while preserving the ...
Alon Shtern, Ron Kimmel
doaj   +1 more source

Prony Method for Two-Generator Sparse Expansion Problem

open access: yesMathematical and Computational Applications, 2022
In data analysis and signal processing, the recovery of structured functions from the given sampling values is a fundamental problem. Many methods generalized from the Prony method have been developed to solve this problem; however, the current research ...
Abdulmtalb Hussen, Wenjie He
doaj   +1 more source

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