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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.