Spectral asymptotics of percolation Laplacians on amenable Cayley graphs
Seminar Room 1, Newton Institute
We study spectral properties of subcritical edge-percolation subgraphs of Cayley graphs of finitely generated, amenable groups. More precisely, we consider Laplace operators which are normalised in such a way that zero is the infimum of the spectrum and analyse the asymptotic behaviour of the integrated density of states near zero.
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