The KPZ universality class and related topics

  title={The KPZ universality class and related
  author={Axel Saenz},
  journal={Analytic Trends in Mathematical
  • A. Saenz
  • Published 5 April 2019
  • Mathematics
  • Analytic Trends in Mathematical Physics
These notes are based on a talk given at the 2018 Arizona School of Analysis and Mathematical Physics. We give a comprehensive introduction to the KPZ universality class, a conjectured class of stochastic process with local interactions related to random growth processes in $1+1$ dimensions. We describe some of the characteristic properties of the KPZ universality class such as scaling exponents and limiting statistics. In particular, we aim to extract the characteristic properties of the KPZ… 

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