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Computing the first eigenpair of the p-Laplacian via inverse iteration of sublinear supersolutions
the p-Laplacian sublinear supersolutions
2010/11/19
We introduce an iterative method for computing the first eigenpair $\left( \lambda_{p},e_{p}\right) $ for the $p$-Laplacian operator with homogeneous Dirichlet data as the limit of $\left( \mu_{q,}u_...
Spectral distributions of adjacency and Laplacian matrices of random graphs
Spectral distributions Laplacian matrices random graphs
2010/11/18
In this paper, we investigate the spectral properties of the adjacency and the Laplacian matrices of random graphs. We prove that: (i) the law of large numbers for the spectral norms and the largest ...
Factorization formulas for higher depth determinants of the Laplacian on the n-sphere
depth determinants the Laplacian on the n-sphere
2010/11/19
We explicitly give factorization formulas for higher depth determinants, which are defined via derivatives of the spectral zeta function at non-positive integer points, of Laplacians on the n-sphere i...