Results 71 to 80 of about 810,772 (337)
Maass cusp forms for large eigenvalues [PDF]
We investigate the numerical computation of Maass cusp forms for the modular group corresponding to large eigenvalues. We present Fourier coefficients of two cusp forms whose eigenvalues exceed r=40000.
Then, H.
core +5 more sources
Analyzing Electronic Excitations and Exciton Binding Energies in Y6 Films
The Y6 molecule is used for increasing the efficiency of organic solar cells. The exciton binding energy is calculated for ensembles of Y6 molecules that are representative of the typically used films. The calculations show that the excitons typically spread out over many molecules.
Sahar Javaid Akram+2 more
wiley +1 more source
On the Detection of Fracture within Vibrating Beams Traversed by a Moving Force
In this work, we examine the influence of a crack in the span of a beam as it is being traversed by a point force with constant velocity. This problem presents two types of discontinuities: one spatial, where the crack is modelled as a discontinuity in ...
Georgios I. Dadoulis, George D. Manolis
doaj +1 more source
On determining the number of spikes in a high-dimensional spiked population model
In a spiked population model, the population covariance matrix has all its eigenvalues equal to units except for a few fixed eigenvalues (spikes).
Passemier, Damien, Yao, Jian-Feng
core +2 more sources
Structure of trajectories of complex matrix eigenvalues in the Hermitian-non-Hermitian transition [PDF]
The statistical properties of trajectories of eigenvalues of Gaussian complex matrices whose Hermitian condition is progressively broken are investigated. It is shown how the ordering on the real axis of the real eigenvalues is reflected in the structure
Bohigas, O.+2 more
core +2 more sources
Making Photoresponsive Metal–Organic Frameworks an Effective Class of Heterogeneous Photocatalyst
This review summarizes photoresponsive MOFs for photocatalytic applications, focusing on their capacity to enhance light harvesting, charge transfer, and surface reactions. While existing studies provide foundational insights, emerging characterization techniques enable a deeper understanding of photoresponsive MOFs.
Rui Liu+3 more
wiley +1 more source
On a Class of Positive Definite Operators and Their Application in Fractional Calculus
This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary value problems for differential equations of fractional order. Approximation matrices are also investigated.
Temirkhan Aleroev
doaj +1 more source
Perturbation of eigenvalues of matrix pencils and optimal assignment problem [PDF]
We consider a matrix pencil whose coefficients depend on a positive parameter $\epsilon$, and have asymptotic equivalents of the form $a\epsilon^A$ when $\epsilon$ goes to zero, where the leading coefficient $a$ is complex, and the leading exponent $A ...
Baccelli+13 more
core +5 more sources
A spin group (SG)‐based mechanism is proposed to realize a single pair of Weyl points. PT‐symmetric nodal lines (NLs) persist under T‐breaking, protected by the combination of SG and P symmetry. When considering spin‐orbit coupling, the SG‐protected NL will split into Weyl points, which will also induce anomalous transport phenomena arising from ...
Shifeng Qian+6 more
wiley +1 more source
Fractional Sturm–Liouville Eigenvalue Problems, II
We continue the study of a non-self-adjoint fractional three-term Sturm–Liouville boundary value problem (with a potential term) formed by the composition of a left Caputo and left Riemann–Liouville fractional integral under Dirichlet type boundary ...
Mohammad Dehghan, Angelo B. Mingarelli
doaj +1 more source