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

Event details
Date | 24.04.2023 |
Hour | 11:00 › 11:50 |
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