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Bernoulli Lecture - Models of random growth and the Hamilton-Jacobi equation.


Event details

Date and time 22.08.2019 17:1518:15  
Place and room
Speaker Konstantin Khanin, University of Toronto Mississauga
Category Conferences - Seminars

The phenomenon of KPZ (Kardar-Parisi-Zhang) universality was a very active research area in the last 10 years. One can say that it describes universal statistical properties of long directed optimal paths (geodesics) in 2D disordered environment. Apart from many physical applications, it is remarkable for extremely strong universality properties in very general setting, as well as for many features of exact integrability. 

In this talk we'll give a general overview of the KPZ problem. We shall then discuss a possible approach to the problem of universality based on global solutions to the random Hamilton-Jacobi equation. We shall also discuss a new renormalisation scheme based on geometrical properties of minimisers and shocks. 

Finally, we shall formulate several conjectures and discuss some rigorous results in their support.

Part of the Semester : Dynamics with Structures

Practical information

  • General public
  • Free


  • Magnus Aspenberg, Lund University 
    Michael Benedicks, Uppsala University 
    Anders Karlsson, Université de Genève, Uppsala University 
    Jörg Schmeling, Lund University 

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