Department Mathematik



Mathematisches Kolloquium

On Thursday Decmber 6th, 2018, at 16:30h

Christophe Sabot
(Université Lyon)

will give a talk in lecture hall A027 on

de Finetti theorems, reinforced random processes and related topics

Abstract: Reinforced random walks are random walks (living typically on Zd) that have a tendency to come back to theit past trajectory. Introduced in the 80's by Diaconis, they recently showed unexpected and still not full understood relations with quantum localization phenomena in disordered systems (Anderson localization).
Starting from the very basic model of Polya urns, we will introduce the de Finetti theorem that plays a crucial role in the domain, introduce the model of linearly reinforced random walks, explain some recent results on its asymptotic bevaviour, and give a glimpse at its relation with random Schrödinger operators and supersymmetric sigma fields.

Everyone is invited! Join us for coffee and tea in the common room (B448) half an hour before the talk.