Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät der Universität Augsburg

 

Oberseminar Wahrscheinlichkeitstheorie

 

Simon Gabriel
Berkeley

 
spricht am
 
Mittwoch, 1. Juli 2026
 
um
 
14:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Modulated Poisson-Dirichlet diffusions from slowed down inclusion processes«

Abstract:
The inclusion process is a stochastic particle system in which attractive interactions can lead to particle clusters of diverging size. This phenomenon is known as condensation. Our aim is to study the limiting dynamics of such a process, with an additional slow phase in which particle interactions occur at a vanishing rate proportional to the inverse system size. Our main result provides convergence in law of inclusion processes to a novel two-component infinite-dimensional stochastic diffusion. The limit describes the co-evolution of the system’s solid condensed and microscopic fluid phase. In particular, we establish non-trivial mass exchange between the two phases.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Stefan Großkinsky


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