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The Brownian Castle.

By: Contributor(s): Publication details: Rio de Janeiro: IMPA, 2020.Description: video onlineSubject(s): DDC classification:
  • cs
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Abstract: We will start with an overview of Wilson's RG picture for 1+1 dimensional dynamics and discuss the EW and KPZ fixed points. We then show that there is another non-trivial RG fixed point (which is "free" but not Gaussian) which we call the Brownian Castle. The minicourse will be devoted to the proof of some of its pathwise properties, including a new construction of the Brownian web (in a stronger space than usual) which arises as the main ingredient in its construction .
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Mini course (Webinar) - 5 lectures.

Abstract: We will start with an overview of Wilson's RG picture for 1+1 dimensional dynamics and discuss the EW and KPZ fixed points. We then show that there is another non-trivial RG fixed point (which is "free" but not Gaussian) which we call the Brownian Castle. The minicourse will be devoted to the proof of some of its pathwise properties, including a new construction of the Brownian web (in a stronger space than usual) which arises as the main ingredient in its construction .

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