On the limiting distributions for KPZ growth with random initial condition

Időpont: 
2017. március 23. 16:15
Helyszín: 
H épület 607
Kategória: 
Előadás
Szervezés: 
BME-egyetem
Kapcsolattartó: 
Sztochasztika Tanszék

Előadó: Patrik Ferrari (Bonn)

For stationary KPZ growth in 1+1 dimensions the height fluctuations are governed by the Baik-Rains distribution. Using the totally asymmetric single step growth model, alias TASEP, we investigate height fluctuations for a general class of spatially homogeneous random initial conditions. We prove that for TASEP there is a one-parameter family of limit distributions, labeled by the roughness of the initial conditions. The distributions are defined through a variational formula.