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Kinetic wave equation for a nonlinear random matrix model

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FKTW02 - Frontiers in analysis of kinetic equations

The kinetic wave equation is expected to provide a universal description to nonlinear dispersive equations in the weakly turbulent regime. In this talk, I will present the (partial) derivation of a kinetic wave equation for a model whose linear part is governed by a random matrix drawn from the GUE ensemble. This is the first instance of a non-Euclidean setup. This is joint work with G. Dubach and B. Harrop-Griffiths.

This talk is part of the Isaac Newton Institute Seminar Series series.

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