The Kardar-Parisi-Zhang (KPZ) universality class arises in a variety of problems related to non-equilibrium fluctuations in (1+1) statistical mechanics, such as growing interfaces and directed polymers, to name but a few, and the KPZ fixed point is a Markov process that is conjectured to be at the core of the KPZ universality class. In this talk, we will study Brownian aspects of the KPZ fixed point that are related to its local space fluctuations and long time behaviour.
Leandro P. R. Pimentel obtained his D.Sc. in mathematics in 2004 from IMPA (Brazil), under the supervision of Prof. Vladas Sidoravicius. Between 2004-2009 he was a postdoctoral researcher at several institutions including USP (Brazil), EPFL (Switzerland) and TUDelft (Netherlands). In 2007 he was aware the Aranda-Ordaz Prize for his doctoral thesis in competing growth models. Since 2009 he has been working at UFRJ (Brazil), where he is currently an associate professor.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai