Absolutely continuous spectrum for the Anderson model on some tree-like graphs

DOI10.1007/s00023-011-0139-7zbMath1260.82046arXiv0810.2516OpenAlexW3104646302MaRDI QIDQ425120

Florina Halasan

Publication date: 7 June 2012

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

Full work available at URL: https://arxiv.org/abs/0810.2516

zbMATH Keywords

Anderson modelabsolutely continuous spectrumtre-like graph

Mathematics Subject Classification ID

Trees (05C05) Spectral theory and eigenvalue problems for partial differential equations (35P99) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random linear operators (47B80)

Related Items (8)

Anderson transition at two-dimensional growth rate on antitrees and spectral theory for operators with one propagating channel ⋮ Absolutely continuous spectrum for random operators on trees of finite cone type ⋮ On quantum percolation in finite regular graphs ⋮ Absolutely continuous spectrum for the Anderson model on some tree-like graphs ⋮ Absolutely continuous spectrum for random Schrödinger operators on tree-strips of finite cone type ⋮ Ballistic behavior for random Schrödinger operators on the Bethe strip ⋮ Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar tree-strips ⋮ Absolutely continuous spectrum for multi-type Galton-Watson trees

Cites Work

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• Absolutely continuous spectrum for the Anderson model on some tree-like graphs
• Transfer matrices, hyperbolic geometry and absolutely continuous spectrum for some discrete Schrödinger operators on graphs
• Absolutely continuous spectrum for the Anderson model on a tree: a geometric proof of Klein's theorem
• Extended states in the Anderson model on the Bethe lattice
• Stability of the absolutely continuous spectrum of random Schrödinger operators on tree graphs
• ABSOLUTELY CONTINUOUS SPECTRUM FOR A RANDOM POTENTIAL ON A TREE WITH STRONG TRANSVERSE CORRELATIONS AND LARGE WEIGHTED LOOPS
• L p Norms of the Borel Transform and the Decomposition of Measures

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