100 citations · 186 across the 4 of their papers we have counts for
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math-ph2005★ 4 cited
Persistence under Weak Disorder of AC Spectra of Quasi-Periodic Schroedinger operators on Trees Graphs
Michael Aizenman, Simone Warzel
We consider radial tree extensions of one-dimensional quasi-periodic Schroedinger operators and establish the stability of their absolutely continuous spectra under weak but extens…
math-ph2005★ 100 cited
Absolutely Continuous Spectra of Quantum Tree Graphs with Weak Disorder
Michael Aizenman, Robert Sims, Simone Warzel
We consider the Laplacian on a rooted metric tree graph with branching number and random edge lengths given by independent and identically distributed bounded variable…
math-ph2003
Fractional Moment Methods for Anderson Localization in the Continuum
Michael Aizenman, Alexander Elgart, Sergey Naboko +2
The fractional moment method, which was initially developed in the discrete context for the analysis of the localization properties of lattice random operators, is extended to appl…