Events Mini Calendar

Go to previous month Go to next month
  S M T W R F S
W9 28 1 2 3 4 5 6
W10 7 8 9 10 11 12 13
W11 14 15 16 17 18 19 20
W12 21 22 23 24 25 26 27
W13 28 29 30 31 1 2 3

Today is:
Fri, Jan 28, 2022

MSU Events Calendar

 Choose Calendar view:   Day   Week   Month     Search   Filter

Math Seminar Series  (Conferences / Seminars / Lectures)


Andrea Nahmod, University of Massachusetts Amherst, will be speaking.

The title of the seminar is "Propagation of randomness under the flow of nonlinear dispersive equations."

Contact Aaron D Levin for more information.

The study of partial differential equations (PDEs) with randomness has become an important and influential subject in the last few decades. In this talk we focus on the time dynamics of solutions of nonlinear dispersive equations with random initial data. It is well known that in many situations, randomization improves the behavior of solutions to PDEs: the key underlying difficulty is in understanding how randomness propagates under the flow of nonlinear PDEs. In this context, starting with an overview of J. Bourgain's seminal work on the invariance of Gibbs measures for nonlinear Schrödinger equations we describe new methods that offer deeper insights. We discuss in particular the theory of random tensors, a powerful new framework that we developed with Yu Deng and Haitian Yue, which allows us to unravel the propagation of randomness beyond the linear evolution of random data and probe the underlying random structure that lives on high frequencies/fine scales.

more information...

Location: Online via Zoom [map]
Price: free
Sponsor: Department of Mathematics
Contact: Department of Mathematics
phone pic (517) 353-0844