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Session S22 - Deterministic and probabilistic aspects of nonlinear evolution equations

Friday, July 16, 17:45 ~ 18:15 UTC-3

Random tensors, propagation of randomness, and nonlinear Schrödinger equations.

Haitian Yue

University of Southern California, United States   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this talk, we will discuss recent developments on the propagation of randomness, in the setting of random data problems for nonlinear Schrödinger equations. In particular, I will present a new framework called the theory of random tensors that proves almost-sure local well-posedness in the optimal (”probabilistic subcritical”) range of regularity.

Joint work with Yu Deng (University of Southern California) and Andrea Nahmod (UMass Amherst).

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