Spectral Localization in the Hierarchical Anderson Model

2005/12/21 by Evgenij Kritchevski, Kritchevski, Evgenij
Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Quantum chaos and dynamical systems #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.math-ph/0512073

Abstract

We prove that a large class of hierarchical Anderson models with spectral dimension \rm d≤ 2 has only pure point spectrum.

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