Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Wahrscheinlichkeitstheorie

 

Yuan Tian
MPI Leipzig
 
spricht am
 
Mittwoch, 28. Januar 2026
 
um
 
14:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»On the convoy of the ASEP speed process«

Abstract:
We investigate the size of the convoy in the speed process in the multi-species asymmetric simple exclusion process (ASEP). Through a coupling argument, we obtain an exact formula for the expected convoy size by relating it to a combinatorial structure. We prove that the asymptotic expected convoy size is universal for all fixed jump rates. In the special TASEP case (i.e. q=0), we upgrade this to full convergence in distribution. We further establish a critical scaling q = 1 - γ/√n that yields a nontrivial limiting regime. Our analysis builds on Martin’s construction of the convoy and makes use of an orthogonal-polynomial representation of random-walk transition probabilities.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Stefan Großkinsky

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