Smoothness of density of states for random decaying interaction

DOI10.1007/BF02829648zbMath0995.60102MaRDI QIDQ1599748

R. Smith

Publication date: 6 June 2002

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

smoothnessdensity of statesrandom Jacobi operators

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random linear operators (47B80) Linear difference operators (47B39)

Related Items (2)

Continuity of integrated density of states -- independent randomness ⋮ Regularity of the density of states of random Schrödinger operators

Cites Work

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• Harmonic analysis on SL(2,R) and smoothness of the density of states in the one-dimensional Anderson model
• A supersymmetric transfer matrix and differentiability of the density of states in the one-dimensional Anderson model
• Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators
• Spectral properties of random Schrödinger operators with unbounded potentials
• Anderson model with decaying randomness: Mobility edge

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