Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Probability Colloquium Augsburg-Munich

 

Professor Dr. Lorenzo Taggi
Rom
 
spricht am
 
Freitag, 24. Januar 2025
 
um
 
15:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Dimensional Phase Transition in Random Walk Loop Soup«

Abstract:
We consider a system of closed random walk trajectories interacting by mutual repulsion. This probabilistic model is motivated by its connections to statistical mechanics models, such as the Bose gas, the double dimer model, or the spin O(N) model. We prove the occurrence of macroscopic loops in dimension d>2 (joint with A. Quitmann, 2022) and the absence of macroscopic loops in dimension d=2 (joint with W. Wu, 2024). The talk will primarily focus on the two-dimensional case, which is analyzed using a novel complex spin representation and the derivation of a Mermin-Wagner theorem for complex measures.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Markus Heydenreich
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).


[Impressum]      [Datenschutz]      wwwadm@math.uni-augsburg.de,     Do 16-Jan-2025 09:21:40 MEZ