34 citations · 107 across the 13 of their papers we have counts for
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math-ph2014★ 4 cited
Bounds on the Lyapunov exponent via crude estimates on the density of states
Mira Shamis, Thomas Spencer
We study the Chirikov (standard) map at large coupling , and prove that the Lyapounov exponent of the associated Schroedinger operator is of order except for a set…
math-ph2014★ 10 cited
Resonances and Partial Delocalization on the Complete Graph
Michael Aizenman, Mira Shamis, Simone Warzel
Random operators may acquire extended states formed from a multitude of mutually resonating local quasi-modes. This mechanics is explored here in the context of the random Schrödin…