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math.SP2007
Spectral asymptotics of percolation Hamiltonians on amenable Cayley graphs
Tonći Antunović, Ivan Veselić
In this paper we study spectral properties of adjacency and Laplace operators on percolation subgraphs of Cayley graphs of amenable, finitely generated groups. In particular we des…
math.SP2007★ 10 cited
Equality of Lifshitz and van Hove exponents on amenable Cayley graphs
Tonći Antunović, Ivan Veselić
We study the low energy asymptotics of periodic and random Laplace operators on Cayley graphs of amenable, finitely generated groups. For the periodic operator the asymptotics is c…