119 citations · 1.3k across the 71 of their papers we have counts for
Showing 2011 · math-phShow all
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math-ph2011★ 29 cited
Absence of mobility edge for the Anderson random potential on tree graphs at weak disorder
Michael Aizenman, Simone Warzel
Our recently established criterion for the formation of extended states on tree graphs in the presence of disorder is shown to have the surprising implication that for bounded rand…
math-ph2011
Absolutely continuous spectrum for random operators on trees of finite cone type
Matthias Keller, Daniel Lenz, Simone Warzel
We study the spectrum of random operators on a large class of trees. These trees have finitely many cone types and they can be constructed by a substitution rule. The random operat…
math-ph2011★ 63 cited
Resonant delocalization for random Schrödinger operators on tree graphs
Michael Aizenman, Simone Warzel
We analyse the spectral phase diagram of Schrödinger operators on regular tree graphs, with the graph adjacency operator and a random potential given by iid random…