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SUMMARY:A universality property of the one-sided ballistic deposition mode
 l near the time axis
DTSTART:20251204T130000Z
DTEND:20251204T140000Z
DTSTAMP:20260504T090100Z
UID:indico-event-14634@indico.math.cnrs.fr
DESCRIPTION:Speakers: Alejandro Ramirez\n\nBallistic deposition is a model
  of interface growth introduced by Vold in 1959 which has remained largely
  mathematically intractable. In dimension d=2\, it is conjectured to belon
 g to the KPZ universality class. It is defined as a process of vertically 
 falling blocks that stick to the top\, the right or the left of growing co
 lumns. Here we introduce a variant\, the one sided ballistic deposition mo
 del\, in which vertically falling blocks can only stick to the top or the 
 upper right corner of growing columns. We establish that in dimension d=2\
 , strong KPZ universality holds near the time axis\, proving that the fluc
 tuations of the height function there are given by the Tracy-Widom GUE dis
 tribution. The proof is based on a graphical construction of the process i
 n terms of a last passage percolation model.\nThis talk is based on a join
 t work with Pablo Groisman\, Santiago Saglietti and Sebastián Zaninovich.
 \n\nhttps://indico.math.cnrs.fr/event/14634/
LOCATION:112 (ICJ)
URL:https://indico.math.cnrs.fr/event/14634/
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