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SUMMARY:Phase transition in the Integrated Density of States of the Anders
 on model arising from a supersymmetric sigma model - Margherita Disertori 
 (Rheinische Friedrich-Wilhelms-Universität Bonn)
DTSTART:20240711T104500Z
DTEND:20240711T114500Z
UID:TALK215596@talks.cam.ac.uk
DESCRIPTION:Localization/delocalization transition in random Schr&ouml\;di
 nger operators cannot in general be seen from the behavior of the correspo
 nding Integrated Density of States (IDS). Here we consider a random Schr&o
 uml\;dinger operator appearing in the study of certain reinforced random p
 rocesses in connection with a supersymmetric sigma-model\, and show that t
 he IDS undergoes a phase transition between weak and strong disorder regim
 e in dimension larger or equal to three. This transition follows from a ph
 ase transition in the corresponding random process and supersymmetric sigm
 a-model. This is joint work with V. Rapenne\, C. Rojas-Molina and X. Zeng.
  
LOCATION:Seminar Room 1\, Newton Institute
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