The PIMS Postdoctoral Fellow Seminar: Kesav Krishnan
Topic
Topic: The Discrete Gaussian Free Field and Invariant Measures for the Non Linear Schrödinger Equation
Speakers
Details
In this talk, I will describe how certain non-linear exponential tilts of the Discrete Gaussian Free Field yield invariant measures for a discretized PDE, the focusing Non Linear Schr\”odinger equation. I will briefly talk about how this tilted measure relates to self-intersections of the random walk on $\mathbb{Z}^{d}$. I will then describe joint work with Partha Dey and Kay Kirkpatrick on how this measure undergoes a phase transition in the thermodynamic limit with general $d\geq 3$ and non-linearity $p$. I will conclude with some new results with Gourab Ray, on the weak convergence of the random field sampled with respect to this measure to the massive discrete Gaussian Free Field.
Additional Information
This seminar takes places across multiple time zones: 9:30 AM Pacific/10:30 AM Mountain /11:30 AM Central
Register via Zoom to receive the link (and reminders) for this event and the rest of the series.
See past seminar recordings on MathTube.
Kesav Krishnan, UVic