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The Kardar-Parisi-Zhang (KPZ) equation is conjectured to universally describe the fluctuations of weakly asymmetric interface growth.
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Hairer, Martin. “Solving the KPZ equation.” Ann. Math. 178.2 (2013): 559-664
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Quastel, Jeremy and Herbert Spohn. “The one-dimensional KPZ equation and its universality class.” Journal of Statistical Physics 160.4 (2015): 965-984
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Quastel, Jeremy. “The Kardar-Parisi-Zhang equation and universality class.” XVIIth International Congress on Mathematical Physics (2014): 113-133
2014
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2015
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2015
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2015
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Funaki, Tadahisa and Jeremy Quastel. “KPZ equation, its renormalization and invariant measures.” Stochastic Partial Differential Equations: Analysis and Computations 3.2 (2015): 159-220
2015
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Gonçalves, Patrícia, Milton Jara, and Sunder Sethuraman. “A stochastic Burgers equation from a class of microscopic interactions.” Ann. Probab. 43.1 (2015): 286-338
2015
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Dembo, Amir and Li-Cheng Tsai. “Weakly asymmetric non-simple exclusion process and the Kardar-Parisi-Zhang equation.” Comm. Math. Phys. 341.1 (2016): 219-261
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Kupiainen, Antti. “Renormalization group and stochastic PDEs.” Annales Henri Poincaré. Vol. 17. No. 3, 2016
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