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DTSTAMP:20260405T203505Z
UID:1601994600@ist.ac.at
DTSTART:20201006T163000
DTEND:20201006T171500
DESCRIPTION:Speaker: Elia Bisi\nhosted by M. Beiglböck\, N. Berestycki\, L
 . Erdös\, J. Maas\, F. Toninelli\nAbstract: In the oriented swap process\
 , N ordered particles perform adjacent swaps at random times until they re
 ach the reverse configuration. The last passage percolation model encodes 
 the maximal time spent travelling along directed lattice paths in a random
  environment. We present new exact distributional identities connecting th
 ese two models. In particular\, the absorbing time of the oriented swap pr
 ocess has the same law as the point-to-line last passage percolation. They
  both converge\, under an appropriate scaling limit as the size of the sys
 tem grows\, to the GOE Tracy-Widom distribution from random matrix theory.
  Three celebrated combinatorial bijections will make an appearance: the RS
 K\, Burge\, and Edelman-Greene correspondences.
LOCATION:TU Wien - EI 3 Sahulka HS\, Gußhausstraße 25-29 (2nd floor)\, IS
 TA
ORGANIZER:
SUMMARY:Elia Bisi: The oriented swap process and last passage percolation
URL:https://talks-calendar.ista.ac.at/events/2871
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