Microscopic derivations of Gibbs measures for the 1D focusing nonlinear Schrödinger equation

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• Andrew Rout, University of Warwick
• Monday 27 February 2023, 15:00-15:50
• WATN-LT C (G24).

If you have a question about this talk, please contact Yuzhao Wang.

Gibbs measures for the nonlinear Schrödinger equation (NLS) are important objects used to study low-regularity almost sure well-posedness. On the other hand, the NLS can be viewed as a limit of many-body quantum mechanics. In this talk we describe the derivation of Gibbs measures from their many-body quantum analogues. In particular, we consider the dimension d=1 with a non-positive interaction potential. The proof is based off a perturbative expansion of the Hamiltonian and a diagrammatic representation of the interaction. This is based on joint work with Vedran Sohinger.

This talk is part of the Analysis seminar series.

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• Analysis seminar
• School of Mathematics events
• WATN-LT C (G24)

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