Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591836 | Journal of Functional Analysis | 2007 | 14 Pages |
Abstract
We investigate Laplacians on supercritical bond-percolation graphs with different boundary conditions at cluster borders. The integrated density of states of the Dirichlet Laplacian is found to exhibit a Lifshits tail at the lower spectral edge, while that of the Neumann Laplacian shows a van Hove asymptotics, which results from the percolating cluster. At the upper spectral edge, the behaviour is reversed.
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Mathematics
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