Joint BCAM-UPV/EHU Analysis and PDE seminar: Large Deviation Principle for the Cubic NLS Equation

Date: Thu, Mar 31 2022

Hour: 12:00

Location: Online

Speakers: Ricardo Grande


In this talk we will explore the weakly nonlinear cubic Schrodinger equation with random initial data as a model for the formation of large waves in deep sea. First we will prove a large deviation principle for the solution of the equation, i.e. we derive the top order asymptotics for the probability of seeing a large wave at a certain time as the height of the wave grows. Then we will study a related problem: if we do see a large wave, what is the most likely initial datum that produced it? We answer this question in the weakly nonlinear regime by giving a probabilistic characterization of the set of rogue waves. This is joint work with M. Garrido, K. Kurianski and G. Staffilani.

Link to the session:

More info at


 University of Michigan - Ann Arbor

Confirmed speakers:

 Ricardo Grande