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Eigenfunction distribution for the Rosenzweig-Porter model [PDF]
Physical Review E, 2018 The statistical distribution of eigenfunctions for the Rosenzweig-Porter model is derived for the region where eigenfunctions have fractal behaviour. The result is based on simple physical ideas and leads to transparent explicit formulas which agree very
E. Bogomolny, M. Sieber
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Symmetry, 2012 The eigenfunction approach used for discrete symmetries is deduced from the concept of quantum numbers. We show that the irreducible representations (irreps) associated with the eigenfunctions are indeed a shorthand notation for the set of eigenvalues of
Renato Lemus
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Endpoint eigenfunction bounds for the Hermite operator [PDF]
Journal of the European Mathematical Society (Print), 2022 We establish the optimal $L^p$, $p=2(d+3)/(d+1),$ eigenfunction bound for the Hermite operator $\mathcal H=-\Delta+|x|^2$ on $\mathbb R^d$. Let $\Pi_\lambda$ denote the projection operator to the vector space spanned by the eigenfunctions of $\mathcal H$
Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu
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Tikrit Journal of Pure Science, 2022 In the present paper, we consider an eigenvalue problem generated by eight- order differential equations with suitable boundary conditions, that containing a spectral parameter.
Aryan Ali Mohammed, Rebaz Fadhil Mahmood
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Unified definition of stress intensity factors at a sharp three-dimensional jointed corner
Nihon Kikai Gakkai ronbunshu, 2021 In the manufacture of electronic devices and MEMS, a wide variety of materials are jointed. For light-weight automobiles, CFRP materials are jointed with metallic materials.
Omar IBRAHIM +2 more
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A comparison between the fourth order linear differential equation with its boundary value problem
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this paper, we study a fourth order linear differential equation. We found an upper bound for the solutions of this differential equation and also, we prove that all the solutions are in L4(0, ∞).
Karwan H.F. Jwamer, Rando R. Q. Rasul
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Accurate Estimations of Any Eigenpairs of N-th Order Linear Boundary Value Problems
Mathematics, 2021 This paper provides a method to bound and calculate any eigenvalues and eigenfunctions of n-th order boundary value problems with sign-regular kernels subject to two-point boundary conditions.
Pedro Almenar, Lucas Jódar
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IEEE Sensors Journal, 2020 Eddy current based approaches have been investigated for a wide range of inspection applications. Dodd-Deeds model and the truncated region eigenfunction expansion (TREE) method are widely applied in various occasions, mostly for the cases that the ...
Ruochen Huang +9 more
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Weighted random-geometric and random-rectangular graphs: spectral and eigenfunction properties of the adjacency matrix [PDF]
J. Complex Networks, 2017 Within a random-matrix-theory approach, we use the nearest-neighbor energy level spacing distribution $P(s)$ and the entropic eigenfunction localization length $\ell$ to study spectral and eigenfunction properties (of adjacency matrices) of weighted ...
L. Alonso +3 more
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BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2015 We study a spectral problem for an ordinary differential equation with composition of fractional order differentiation operators in Riemann-Liouville and Caputo senses with different origins. We prove that for the problem under study there exist infinite
L.M. Eneeva
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