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Universität Augsburg
Institut für Mathematik

 Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät der Universität Augsburg

 

Oberseminar Wahrscheinlichkeitstheorie

 

Min Liu
Bonn
 
spricht am
 
Mittwoch, 27. Mai 2026
 
um
 
10:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Critical Fluctuations of Last Passage Percolation with Thick Boundaries«

Abstract:
In this talk, we consider exponential last passage percolation (LPP) with thick two-sided boundaries consisting of several inhomogeneous columns and rows, first introduced by Ben Arous and Corwin. They studied the limiting fluctuations in this model except in a critical regime, where they conjectured that the limiting distribution exists and depends only on the most dominant columns and rows. We explain how to prove their conjecture and explicitly identify the limiting distribution. As an application, we obtain an explicit variational formula for the one-point marginal of the KPZ fixed point for a new class of initial conditions. Our limiting distribution also provides a novel generalization of the representation of the Baik–Rains distribution. This talk is based on joint work with Elnur Emrah and Patrik Ferrari.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Dominik Schmid

[Impressum]      [Datenschutz]      wwwadm@math.uni-augsburg.de,     Mo 18-Mai-2026 10:51:29 MESZ