Fluctuations of SPDEs in $d\geq 3$, multiplicative chaos and directed polymers (1)

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Event details

Date 24.04.2023
Hour 11:0011:50
Speaker Chiranjib Mukherjee  (Muester)
Location
Category Conferences - Seminars
Event Language English

Abstract:

 In these lectures, will report on the stationary solution and space-time fluctuations of the KPZ equation in $d\geq 3$ in the weak disorder regime. In this phase, we will also discuss the construction of a directed polymer measure, identify this a "Gaussian multiplicative chaos" in the path space and deduce some relevant geometric properties. Time permitting, we will also report on a contrasting behavior in the strong disorder phase.

Practical information

  • General public
  • Free

Organizer

  • Prof. Xue-Mei Li

Contact

  • Prof. Xue-Mei Li

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Working Seminar

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