The One-Dimensional KPZ Equation and Its Universality Class
By Jeremy Quastel, Herbert Spohn. 2015
246 citations recorded by the source corpus.
Our understanding of the one-dimensional KPZ equation, alias noisy Burgers equation, has advanced substantially over the past 5 years. We provide a non-technical review, where we limit ourselves to the stochastic PDE and lattice type models approximating it.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/843f277b699e411e19ceda44c4c15ec772c902e5
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In Geometry and Topology
In Statistical and Nonlinear Physics
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Citations in the corpus
- An appetizer to modern developments on the Kardar–Parisi–Zhang universality class (2017, background): “It is not a review of recent mathematical approaches nor a technical guide to solve the problems, for which the readers are referred to more appropriate reviews [14, 15, 17, 18] and references therein.”
- Lectures on singular stochastic PDEs (2015, background): “Excellent surveys on the KPZ equation and related areas are [6, 28, 29].”