Stability of the absolutely continuous spectrum of random Schrödinger operators on tree graphs

From MaRDI portal
Publication:2509000

DOI10.1007/s00440-005-0486-8zbMath1169.82007arXivmath-ph/0502006OpenAlexW2101238439MaRDI QIDQ2509000

Simone Warzel, Robert Sims, Michael Aizenman

Publication date: 16 October 2006

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0502006




Related Items

Delocalization at small energy for heavy-tailed random matricesA central limit theorem for products of random matrices and GOE statistics for the Anderson model on long boxesAnderson transition at two-dimensional growth rate on antitrees and spectral theory for operators with one propagating channelElectronic states in ordered and disordered quantum networks: With applications to graphene and to boron nanotubesContinuity of the integrated density of states on random length metric graphsResonant delocalization for random Schrödinger operators on tree graphsThe large connectivity limit of the Anderson model on tree graphsAbsolutely continuous spectrum for random operators on trees of finite cone typeThe essential spectrum of the Laplacian on rapidly branching tessellationsGOE statistics for Anderson models on antitrees and thin boxes in \(\mathbb{Z}^3\) with deformed LaplacianCharacterization of the metal-insulator transport transition for the two-particle Anderson modelAbsolutely continuous spectrum for the Anderson model on a tree: a geometric proof of Klein's theoremResonant delocalization on the Bethe stripExistence of absolutely continuous spectrum for Galton-Watson random treesOn quantum percolation in finite regular graphsAnderson localization for radial tree graphs with random branching numbersPeriodic Jacobi matrices on treesOne-dimensional discrete Dirac operators in a decaying random potential. I: Spectrum and dynamicsLocal Kesten-McKay law for random regular graphsRandom Schrödinger operator on infinite-dimensional hypercube. I: Ergodicity and density of statesAbsolutely continuous spectrum for Schrödinger operators with random decaying matrix potentials on the stripAbsolutely continuous spectrum for the Anderson model on some tree-like graphsConvergence of the density of states and delocalization of eigenvectors on random regular graphsSpectral theory of one-channel operators and application to absolutely continuous spectrum for Anderson type modelsDynamical localization for the one-dimensional continuum Anderson model in a decaying random potentialAbsolutely continuous spectrum for random Schrödinger operators on tree-strips of finite cone typeSpectral transition for random quantum walks on treesOn the spectral theory of trees with finite cone typeA supersymmetric hierarchical model for weakly disordered \(3d\) semimetalsLifshitz tails on the Bethe lattice: A combinatorial approachBallistic behavior for random Schrödinger operators on the Bethe stripAbsolutely continuous spectrum for the Anderson model on a product of a tree with a finite graphPoisson eigenvalue statistics for random Schrödinger operators on regular graphsPersistence of Anderson localization in Schrödinger operators with decaying random potentialsThe Canophy graph and level statistics for random operators on treesSpectral theory of infinite quantum graphsAbsolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar tree-stripsThe rank of diluted random graphsAbsolutely continuous spectrum for multi-type Galton-Watson treesAbsolutely continuous spectra of quantum tree graphs with weak disorderAnalysis of the physical Laplacian and the heat flow on a locally finite graphOn the spectrum of Schrödinger operators with a finitely supported potential on the \(d\)-regular treeEmergence of extended states at zero in the spectrum of sparse random graphsOn the decomposition of the Laplacian on metric graphsTransfer matrices for discrete Hermitian operators and absolutely continuous spectrumAbsolutely continuous spectrum of a Schrödinger operator on a treeLocalization for Anderson models on metric and discrete tree graphsABSOLUTELY CONTINUOUS SPECTRUM FOR A RANDOM POTENTIAL ON A TREE WITH STRONG TRANSVERSE CORRELATIONS AND LARGE WEIGHTED LOOPSDelocalization and continuous spectrum for ultrametric random operatorsAbsolutely continuous spectrum for random Schrödinger operators on the Bethe strip



Cites Work