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CATEGORIES:Probability
SUMMARY:Scaling limit of multi-type stationary measures in
the KPZ class - Ofer Busani (Bonn)
DTSTART;TZID=Europe/London:20230523T140000
DTEND;TZID=Europe/London:20230523T150000
UID:TALK200485AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/200485
DESCRIPTION:The KPZ class is a very large set of 1+1 models t
hat are meant to describe random growth interfaces
. It is believed that upon scaling\, the long time
behavior of members in this class is universal an
d is described by a limiting random object\, a Mar
kov process called the KPZ fixed-point. The (one-t
ype) stationary measures for the KPZ fixed-point a
s well as many models in the KPZ class are known -
it is a family of distributions parametrized by
some set Iind that depends on the model. For k∈ ℕ
the k-type stationary distribution with intensit
ies ρ1\,...\,ρk ∈ Iind is a coupling of one-type s
tationary measures of indices ρ1\,...\,ρk that is
stationary with respect to the model dynamics. I
n this talk we will present recent progress in ou
r understanding of the multi-type stationary measu
res of the KPZ fixed-point as well as the scaling
limit of multi-type stationary measures of two fam
ilies of models in the KPZ class: metric-like mode
ls (e.g. last passage percolation) and particle sy
stems (e.g. exclusion process). Based on joint wo
rk with Timo Seppalainen and Evan Sorensen. \n
LOCATION:MR12\, Centre for Mathematical Sciences
CONTACT:Perla Sousi
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