Introduction to KPZ

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The directed landscape (2018, background): “ork. For a gentle introduction suitable for a newcomer to the area, see Romik (2015). Review articles and books focusing on more recent developments include Corwin 8 (2016), Ferrari and Spohn (2010), Quastel (2011), Takeuchi (2018) and Weiss, Ferrari and Spohn (2017). The Baik, Deift and Johansson (”
Height Fluctuations for the Stationary KPZ Equation (2014, unknown): “For additional background, see the reviews [8, 9, 15, 17].”
The infinitesimal generator of the stochastic Burgers equation (2018, background): “One of the main motivations for studying the martingale problem for singular SPDEs is that it is a convenient tool for deriving the equations as scaling limits: The weak KPZ universality conjecture [8,50,51] says that a wide range of interface growth models converge in the weakly asymmetric or the w”
The One-Dimensional KPZ Equation and Its Universality Class (2015, background): “Fortunately there are excellent reviews available [1–8], which cover further aspects of the story.”
Lectures on singular stochastic PDEs (2015, background): “Excellent surveys on the KPZ equation and related areas are [6, 28, 29].”