The Kardar-Parisi-Zhang equation and universality class

@article{Corwin2011TheKE,
  title={The Kardar-Parisi-Zhang equation and universality class},
  author={Ivan Corwin},
  journal={arXiv: Probability},
  year={2011}
}
  • Ivan Corwin
  • Published 8 June 2011
  • Mathematics
  • arXiv: Probability
Brownian motion is a continuum scaling limit for a wide class of random processes, and there has been great success in developing a theory for its properties (such as distribution functions or regularity) and expanding the breadth of its universality class. Over the past twenty five years a new universality class has emerged to describe a host of important physical and probabilistic models (including one dimensional interface growth processes, interacting particle systems and polymers in random… 

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