vol10_pp163-178. 201KB Jun 04 2011 12:05:50 AM
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Weighted graph, Generalized Bethe tree, Laplacian matrix, Adjacency matrix,.. Spectral radius,
We prove Zhan’s conjecture, and a related inequality for positive semidefinite matrices, using standard facts about principal submatrices, Kronecker products, and the spectral
A characterization of the joint spectral radius, due to Chen and Zhou, relies on the limit superior of the k -th root of the dominant trace over products of matrices of length
Yamazaki that an upper and a lower bounds for the numerical radius of a geometrically weighted shift operator can be obtained from the numerical range of the Aluthge transformation
In suitable circumstances we expect the results of truncation of the reordered inclusion– exclusion principle to give bounds, not just approximations, for probabilities (see
In this paper, we prove upper and lower bounds on the free energy in the SK model with multidi- mensional spins in terms of variational inequalities involving the
Still in the Gaussian case, [13] derived upper bounds of large deviations type for the spectral measure of band matrices, including certain sample covariance matrices.. Her
We prove the moderate deviation principle for subgraph count statistics of Erd˝ os-Rényi random graphs.. This is equivalent in showing the moderate deviation principle for the trace