Event Archive

Martin Hairer - The Brownian castle

Wednesday, February 09, 2022 at 10:45am - 11:45am

Martin Hairer - Imperial College London

Wednesday, February 9, 10:45AM (Zoom meeting starts at 10:30)

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“The Brownian castle”

We will start with an overview of Wilson's RG picture for 1+1 dimensional dynamics and discuss the Edwards Wilkinson (EW) and Kardar Parisi Zhang (KPZ) fixed points. We then show that there is another non-trivial RG fixed point (which is "free" in the sense that it is obtained as a scaling limit of a uniformly distributed system, but is not Gaussian) which we call the Brownian Castle. We will give some of its pathwise properties and explore some of its crossover processes to EW.

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