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Convex optimization of graph Laplacian eigenvalues
Graph theory Laplacian matrix Convex optimization Semidefinite pro-gramming Markov chain Distributed averaging Effective resistance
2015/8/10
We consider the problem of choosing the edge weights of an undirected graph so as to maximize or minimize some function of the eigenvalues of the associated Laplacian matrix, subject to some constrain...
A further note on the inverse nodal problem and Ambarzumyan problem for the p-Laplacian
p-Laplacian inverse nodal problem Ambarzumyan theorem
2010/11/26
In this note, we extend some results in a previous paper on the inverse nodal problem and Ambarzumyan problem for the p-Laplacian to periodic or anti-periodic boundary conditions, and to L1 potentials...
The Linear Mean Value of the Remainder Term in the Problem of Asymptotic Behavior of Eigenfunctions of the Automorphic Laplacian
Linear Mean Value Automorphic Laplacian Remainder Term
2010/3/5
The purpose of this paper is to obtain the estimate for the average mean value of the remainder term of the asymptotic formula for the quadratic mean value of the Fourier coefficients of the eigenfunc...