Singularity of the density of states for one-dimensional chains with random couplings

DOI10.1007/BF01218450zbMath0682.60103OpenAlexW2009629635MaRDI QIDQ1824300

J. Fernando Perez, Massimo Campanino

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01218450

zbMATH Keywords

tight-binding modelSchrödinger equations with random potentialrecurrence properties

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Stochastic mechanics (including stochastic electrodynamics) (81P20)

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Cites Work

• 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
• Smoothness of the density of states in the Anderson model at high disorder
• A New Approach to the Limit Theory of Recurrent Markov Chains
• The Dynamics of a Disordered Linear Chain
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