4 papers
On the mean-field equations for ferromagnetic spin systems
Christian Brennecke, Per von Soosten
We derive mean-field equations for a general class of ferromagnetic spin systems with an explicit error bound in finite volumes. The proof is based on a link between the mean-field…
Random characteristics for Wigner matrices
Per von Soosten, Simone Warzel
We extend the random characteristics approach to Wigner matrices whose entries are not required to have a normal distribution. As an application, we give a simple and fully dynamic…
Delocalization and continuous spectrum for ultrametric random operators
Per von Soosten, Simone Warzel
This paper studies the delocalized regime of an ultrametric random operator whose independent entries have variances decaying in a suitable hierarchical metric on . Whe…
The Localization Transition in the Ultrametric Ensemble
Per von Soosten, Simone Warzel
We study the hierarchical analogue of power-law random band matrices, a symmetric ensemble of random matrices with independent entries whose variances decay exponentially in the me…