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- W1771517178 abstract "We prove that the integrated density of states of random Schrödinger operators with Anderson-type potentials on L2(ℝd), for d ≥ 1, is locally Hölder continuous at all energies for d ≥ 2, and Lipschitz continuous at all energies for d = 1. The single-site potential u must be nonnegative and compactly supported, and the distribution of the random variable must be absolutely continuous with a bounded, compactly supported density. We also prove continuity of the integrated density of states at all energies for random Anderson-type perturbations of the Landau Hamiltonian in two dimensions, and Hölder continuity under an additional rational flux condition." @default.
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- W1771517178 date "2003-01-01" @default.
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- W1771517178 doi "https://doi.org/10.1155/s1073792803202099" @default.
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