Eigenvalue Fluctuations for Lattice Anderson Hamiltonians

DOI10.1137/14097389XzbMath1345.60058arXiv1406.5268OpenAlexW3101117866WikidataQ114074340 ScholiaQ114074340MaRDI QIDQ3188318

Ryoki Fukushima, Wolfgang König, Marek Biskup

Publication date: 19 August 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5268

zbMATH Keywords

eigenvaluehomogenizationrandom Schrödinger operatorcentral limit theoremAnderson Hamiltonianspectral statistics

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Eigenvalue problems for linear operators (47A75) Random linear operators (47B80) Random nonlinear operators (47H40)

Related Items (6)

Eigenvalue fluctuations for random elliptic operators in homogenization regime ⋮ An invariance principle for the two-dimensional parabolic Anderson model with small potential ⋮ Eigenvalue Fluctuations for Lattice Anderson Hamiltonians: Unbounded Potentials ⋮ Eigenvalue versus perimeter in a shape theorem for self-interacting random walks ⋮ Phase transitions in asymptotically singular Anderson Hamiltonian and parabolic model ⋮ Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps

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