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KPZ universality of random growing interfaces

Probability

Speaker: Konstantin Matetski, Columbia University
Location: 2112 MSB
Start time: Wed, Nov 10 2021, 4:10PM

The KPZ universality class includes random growing interfaces, which, after rescaling, 
are conjectured to converge to the KPZ fixed point. The latter is a Markov process, 
which has been characterized through the exact solution of TASEP,
a particular model in the class. The KPZ equation plays a special role and is conjectured 
to be the only model connecting the Edwards-Wilkinson (Gaussian) and the KPZ fixed points. 
In the talk, I will introduce the KPZ fixed point and review recent progress on the KPZ universality.