The Kardar-Parisi-Zhang Equation and its Universality Class

The Kardar-Parisi-Zhang Equation and its Universality Class

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Jeremy Quastel, University of Toronto
Fine Hall 314

The KPZ equation was introduced in 1986, and has become the default model in physics for random interface growth. It is a member of a large universality class with non-standard fluctuations, including directed random polymers. Even in one dimension, it turned out to be difficult to interpret and analyze mathematically, but at the same time to have a large degree of exact solvability. We will survey the history and recent progress.