scientific article; zbMATH DE number 2163288
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Publication:4672130
zbMath1072.82532arXivmath-ph/0308041MaRDI QIDQ4672130
Publication date: 29 April 2005
Full work available at URL: https://arxiv.org/abs/math-ph/0308041
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Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Percolation (82B43)
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Spectral properties of the Laplacian on bond-percolation graphs ⋮ Lifshitz asymptotics for percolation Hamiltonians ⋮ Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over \(\mathbb Z^d\) ⋮ Sharpness of the phase transition and exponential decay of the subcritical cluster size for percolation on quasi-transitive graphs ⋮ Spectral analysis of percolation Hamiltonians ⋮ Lifshitz tails for spectra of Erdős-Rényi random graphs ⋮ Equality of Lifshitz and van Hove exponents on amenable Cayley graphs ⋮ Uniform existence of the integrated density of states for models on \({\mathbb{Z}}^d\) ⋮ Groupoids, von Neumann algebras and the integrated density of states ⋮ Hamiltonians on discrete structures: jumps of the integrated density of states and uniform convergence ⋮ Continuity properties of the integrated density of states on manifolds
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