Poisson eigenvalue statistics for random Schrödinger operators on regular graphs

DOI10.1007/s00023-014-0369-6zbMath1321.81025arXiv1406.1608OpenAlexW1987881615MaRDI QIDQ494859

Leander Geisinger

Publication date: 2 September 2015

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1608

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) PDEs with randomness, stochastic partial differential equations (35R60) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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Local Kesten-McKay law for random regular graphs ⋮ On Agmon metrics and exponential localization for quantum graphs

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