On the Furstenberg measure and density of states for the Anderson-Bernoulli model at small disorder
Jean Bourgain
TL;DR
This paper investigates the density of states for the Anderson-Bernoulli model at small disorder, providing new insights into its dimensional properties.
Contribution
It presents novel results on the dimension of the density of states specifically for the Anderson-Bernoulli model at low disorder levels.
Findings
New bounds on the dimension of the density of states
Enhanced understanding of spectral properties at small disorder
Improved mathematical characterization of the Furstenberg measure
Abstract
We establish new results on the dimension of density of states for the Anderson-Bernoulli model at small disorder
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Random Matrices and Applications · Quantum chaos and dynamical systems