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SUMMARY:Last passage percolation with thick boundaries [CRC 1720: Early Ca
 reer Seminar]
DTSTART:20251209T131500Z
DTEND:20251209T141500Z
DTSTAMP:20260514T105200Z
UID:indico-event-834@math-events.uni-bonn.de
CONTACT:sfb1720-seminar@uni-bonn.de
DESCRIPTION:Speakers: Min Liu\n\nWe consider the exponential last passage 
 percolation (LPP) with a thick two-sided boundary that consists of a few i
 nhomogeneous columns and rows. Ben Arous and Corwin previously studied the
  limit fluctuations in this model except in a critical regime\, for which 
 they predicted that the limit distribution exists and depends only on the 
 most dominant columns and rows. In this article\, we prove their conjectur
 e and identify the limit distribution explicitly in terms of a Fredholm de
 terminant of a $2 \\times 2$ matrix kernel. This result leads in particula
 r to an explicit variational formula for the one-point marginal of the KPZ
  fixed point for a new class of initial conditions. Our limit distribution
  is also a novel generalization of and provides a new numerically efficien
 t representation for the Baik--Rains distribution.\n\nhttps://math-events.
 uni-bonn.de/event/834/
LOCATION:Endenicher Allee 60\, R. 2.040 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/834/
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