Hardy-Muckenhoupt Bounds for Laplacian Eigenvalues

12/06/2018

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We present two graph quantities Psi(G,S) and Psi_2(G) which give constant factor estimates to the Dirichlet and Neumann eigenvalues, lambda(G,S) and lambda_2(G), respectively. Our techniques make use of a discrete Hardy-type inequality.

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Hardy-Muckenhoupt Bounds for Laplacian Eigenvalues

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Computing eigenvalues of the Laplacian on rough domains

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Effective estimates of ergodic quantities illustrated on the Bolyai-Rényi map

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Hardy-Muckenhoupt Bounds for Laplacian Eigenvalues

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Spectral monotonicity of the Hodge Laplacian

Computing eigenvalues of the Laplacian on rough domains

On the semiclassical spectrum of the Dirichlet-Pauli operator

Effective estimates of ergodic quantities illustrated on the Bolyai-Rényi map

Spectrahedral Geometry of Graph Sparsifiers

A new Newton-type inequality and the concavity of a class of k-trace functions

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