Results 61 to 70 of about 112,028 (283)
Two-eigenfunction correlation in a multifractal metal and insulator
, 2007 We consider the correlation of two single-particle probability densities $|\Psi_{E}({\bf r})|^{2}$ at coinciding points ${\bf r}$ as a function of the energy separation $\omega=|E-E'|$ for disordered tight-binding lattice models (the Anderson models) and
A. D. Mirlin +10 more
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Eigenfunction expansions in ℝⁿ
Proceedings of the American Mathematical Society, 2011 The main goal of this paper is to extend in R n \mathbb {R}^n a result of Seeley on eigenfunction expansions of real analytic functions on compact manifolds. As a counterpart of an elliptic operator in a compact manifold, we consider in R n \mathbb {R}^n
T. Gramchev +2 more
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Nodal sets and growth exponents of Laplace eigenfunctions on surfaces
, 2014 We prove a result, announced by F. Nazarov, L. Polterovich and M. Sodin that exhibits a relation between the average local growth of a Laplace eigenfunction on a closed surface and the global size of its nodal set.
Roy-Fortin, Guillaume
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Estimates for the ratio of the first two eigenvalues of the Dirichlet-Laplace operator with a drift [PDF]
Contributions to Mathematics, 2021 Serban Barbuleanu +2 more
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Stats, 2022 Matrix/linear algebra continues bestowing benefits on theoretical and applied statistics, a practice it began decades ago (re Fisher used the word matrix in a 1941 publication), through a myriad of contributions, from recognition of a suite of matrix ...
Daniel A. Griffith
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Eigenfunctions and optimal orbits
Journal of Computational and Applied Mathematics, 1984 AbstractFor the algebraic structure (R, max, +) we study the continuous analogue of the eigenvector-eigenvalue problem and relate it to a minimal-cost orbit problem. An explicit solution is given for the concave-quadratic case.
Rainer E. Burkard +1 more
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FADDEEV EIGENFUNCTIONS FOR MULTIPOINT POTENTIALS [PDF]
Eurasian Journal of Mathematical and Computer Applications, 2013 We present explicit formulas for the Faddeev eigenfunctions and related generalized scattering data for multipoint potentials in two and three dimensions. For single point potentials in 3D such formulas were obtained in an old unpublished work of L.D. Faddeev.
Grinevich, Piotr, Novikov, Roman
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Electronic Journal of Differential Equations, 2016 In this article we study a class of generalized BVP' s consisting of discontinuous Sturm-Liouville equation on finite number disjoint intervals, with usual boundary conditions and supplementary transmission conditions at finite number interior ...
Kadriye Aydemir, Oktay Sh. Mukhtarov
doaj
Geometric Inequalities for Warped Products in Riemannian Manifolds
Mathematics, 2021 Warped products are the most natural and fruitful generalization of Riemannian products. Such products play very important roles in differential geometry and in general relativity.
Bang-Yen Chen, Adara M. Blaga
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Modeling of turbulent fluid flow based on the solution of the Mathieu equation
Вестник Дагестанского государственного технического университета: Технические наукиObjective. This work examines the problem of fluid flow simulation in a turbulent regime. The main reasons why turbulent flow occurs are due to the existence of high velocities of movement in fluids; besides that, there may be obstacles or changes in the
V. V. Garbuzov, A. P. Preobrazhensky
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