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SUMMARY:Scaling limit of multi-type stationary measures in the KPZ class -
  Ofer Busani (Bonn)
DTSTART:20230523T130000Z
DTEND:20230523T140000Z
UID:TALK200485@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:The KPZ class is a very large set of 1+1  models that are mean
 t to describe random growth interfaces. It is believed that upon scaling\,
  the long time behavior of members in this class is universal and is descr
 ibed by a limiting random object\, a Markov process called the KPZ fixed-p
 oint. The (one-type) stationary measures for the KPZ fixed-point as well a
 s many models in the KPZ class are known -  it is a family of distribution
 s parametrized by some set Iind that depends on the model.  For k∈ ℕ t
 he  k-type stationary distribution with intensities ρ1\,...\,ρk ∈ Iind
  is a coupling of one-type stationary measures of indices ρ1\,...\,ρk  t
 hat is stationary with respect to the model dynamics.  In this talk we  wi
 ll present recent progress in our understanding of the multi-type stationa
 ry measures of the KPZ fixed-point as well as the scaling limit of multi-t
 ype stationary measures of two families of models in the KPZ class: metric
 -like models (e.g. last passage percolation) and particle systems (e.g. ex
 clusion process).  Based on joint work with Timo Seppalainen and Evan Sore
 nsen.  \n
LOCATION:MR12\, Centre for Mathematical Sciences
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