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Spectral asymptotics of percolation Laplacians on amenable Cayley graphs

Tuesday 3rd April 2007 - 16:10 to 16:40
INI Seminar Room 1

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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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons