Poisson statistics of eigenvalues in the hierarchical Anderson model

Details Poisson statistics of eigenvalues in the hierarchical Anderson model Poisson statistics of eigenvalues in the hierarchical Anderson model

2007-10-13

arxiv.org/abs/0710.2582v1

Physics

Mathematical Physics

Scientific paper

10.1007/s00023-008-0369-5

We study the eigenvalue statistics for the hieracharchial Anderson model of
Molchanov. We prove Poisson fluctuations at arbitrary disorder, when the the
model has spectral dimension d<1. The proof is based on Minami's technique and
we give an elementary exposition of the probabilistic arguments.

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