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SUMMARY:Polynuclear growth and the Toda lattice
DTSTART;VALUE=DATE-TIME:20220616T120000Z
DTEND;VALUE=DATE-TIME:20220616T130000Z
DTSTAMP;VALUE=DATE-TIME:20220813T114050Z
UID:indico-event-6902@indico.math.cnrs.fr
DESCRIPTION:The polynuclear growth model is one of the most important mode
ls in the KPZ universality class. Generally it has been studied in the dro
plet geometry\, where it is equivalent to the longest increasing subsequen
ce of a random permutation\, whose solution sparked the KPZ revolution. We
study it for general initial data and show that it is an integrable Marko
v process sharing the key structures of the KPZ fixed point\, determinanta
l formulas for the transition probabilities and fixed time n-point distrib
utions governed by completely integrable equations\, the non-Abelian 2D To
da lattice. Joint with Konstantin Matetski and Daniel Remenik.\n\nhttps://
indico.math.cnrs.fr/event/6902/
LOCATION:
URL:https://indico.math.cnrs.fr/event/6902/
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