PRECISE HIGH ENERGY ASYMPTOTICS FOR THE INTEGRATED DENSITY OF STATES OF AN UNBOUNDED RANDOM JACOBI MATRIX

DOI10.1142/S0129055X00000198zbMath1044.82007OpenAlexW1974719308MaRDI QIDQ4519846

Frédéric Klopp

Publication date: 4 December 2000

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x00000198

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random linear operators (47B80) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

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Cites Work

• Band edge behavior of the integrated density of states of random Jacobi matrices in dimension 1
• Internal Lifshits tails for random perturbations of periodic Schrödinger operators.
• On the density of states of Schrodinger operators with a random potential