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Universität Augsburg
Institut für Mathematik

 Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät der Universität Augsburg

 

Oberseminar Wahrscheinlichkeitstheorie

 

Professor Dr. Georg Menz
UCLA
 
spricht am
 
Montag, 28. September 2026
 
um
 
11:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Comparison principles without monotonicity: patch-positive spin systems«

Abstract:
Comparison principles are a key tool for studying invariant measures and convergence of interacting particle systems, and their best known source is monotonicity. Kinetically constrained models, such as the Fredrickson–Andersen and East models, arise from independent Bernoulli updates by forbidding updates unless a local constraint holds. This destroys monotonicity. Does any comparison principle survive? We show that for a broad class of spin systems, which we call patch-positive, the dynamics preserve an order on probability laws that compares joint moments of the spins taken around a reference density. As an application, we prove that the East model perturbed by independent noise is uniformly ergodic, a question left open in earlier work. Joint work with Maciej Głuchowski (UCLA).

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Markus Heydenreich

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