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Macroscopic loops in interacting random walk loop soups

Oberseminar Darmstadt

Oberseminar AG Stochastik

Date: 03.11.2022

Time: 16:15–18:15 h

Abstract: We consider a general interacting random walk loop soup that is related to several well-known statistical mechanics models, such as the Spin O(N) model, the double dimer model or the interacting Bose gas. We present some recent results about the occurrence of macroscopic loops in dimensions d>2 as the inverse temperature is large enough and discuss the underlying property of the model, which is called reflection positvity.

Speaker

Alexandra Quitmann, WIAS Berlin

tba

Place

TU Darmstadt S2|15 Raum 401
Schlossgartenstr. 7, 64289 Darmstadt

Organizers

Technische Universität Darmstadt

Fachbereich Mathematik - Stochastik
Schlossgartenstraße 7
64289 Darmstadt
Telefon: +49 6151 16-23380
Telefax: +49 6151 16-23381
info(at)stochastik-rhein-mainde


Organizing partners

Goethe-Universität Frankfurt am Main, Johannes Gutenberg-Universität Mainz

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