207 citations · 2.4k across the 59 of their papers we have counts for
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math-ph2013★ 11 cited
On the ubiquity of the Cauchy distribution in spectral problems
Michael Aizenman, Simone Warzel
We consider the distribution of the values at real points of random functions which belong to the Herglotz-Pick (HP) class of analytic mappings of the upper half plane into itself.…
math-ph2013★ 112 cited
Random Currents and Continuity of Ising Model's Spontaneous Magnetization
Michael Aizenman, Hugo Duminil-Copin, Vladas Sidoravicius
The spontaneous magnetization is proved to vanish continuously at the critical temperature for a class of ferromagnetic Ising spin systems which includes the nearest neighbor ferro…