A forward-backward random process for the spectrum of 1D Anderson operators

DOI10.1214/19-ECP232zbMath1451.60096arXiv1711.11302MaRDI QIDQ2279084

Raphael Ducatez

Publication date: 12 December 2019

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.11302

zbMATH Keywords

Anderson modelrandom matrices

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Random matrices (algebraic aspects) (15B52) Stable stochastic processes (60G52) Transition functions, generators and resolvents (60J35)

Related Items (1)

Subdiffusion in one-dimensional Hamiltonian chains with sparse interactions

Cites Work

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• Absence of diffusion in the Anderson tight binding model for large disorder or low energy
• Sur le spectre des opérateurs aux différences finies aléatoires
• A pure point spectrum of the stochastic one-dimensional Schrödinger operator
• Eigenvectors of the 1-dimensional critical random Schrödinger operator
• Anderson localization for Bernoulli and other singular potentials
• Step density profiles in localized chains

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