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math-ph2021
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…
math-ph2018
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…
math-ph2017
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…