Department of Mathematics

Probability

  •  Konstatin Matetski, MSU
  •  The KPZ fixed point.
  •  10/19/2022
  •  3:00 PM - 3:50 PM
  •  C405 Wells Hall
  •  Dapeng Zhan (zhan@msu.edu)

The KPZ universality class contains one-dimensional random growth models, which under quite general assumptions exhibit similar (non-Gaussian) scaling behavior. For special initial states, the limiting distributions surprisingly coincide with those from the random matrix theory. The physical explanation is that in the space of Markov processes, these models are all being rescaled to a universal fixed point. This scaling invariant fixed point was first characterized in joint work with Jeremy Quastel and Daniel Remenik. In our work, we found a surprising relation between random growing interfaces and the solutions of the classical integrable systems.

 

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Department of Mathematics
Michigan State University
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C212 Wells Hall
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