Spectral asymptotics of percolation Hamiltonians on amenable Cayley graphs

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dc.creatorAntunović, Tonći
dc.creatorVeselić, Ivan
dc.date2007-07-29
dc.date2008-11-27
dc.date.accessioned2026-07-07T12:04:39Z
dc.date.available2026-07-07T12:04:39Z
dc.descriptionIn 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 describe the asymptotic behaviour of the integrated density of states (spectral distribution function) of these random Hamiltonians near the spectral minimum. The first part of the note discusses various aspects of the quantum percolation model, subsequently we formulate a series of new results, and finally we outline the strategy used to prove our main theorem.
dc.descriptionTypos (including those found after publication)corrected
dc.identifierhttps://arxiv.org/abs/0707.4292
dc.identifierhttp://arxiv.org/abs/0707.4292
dc.identifierOperator Theory: Advances and Applications, Volume 186, pages, 1-29, 2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208164
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subjectGroup Theory
dc.subject05C25, 82B43, 05C80, 37A30, 35P15
dc.titleSpectral asymptotics of percolation Hamiltonians on amenable Cayley graphs
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