Embedded Files
Background
Background
I am a Postdoc at the University of Rennes working with Zied Ammari (until autumn 2025).
Before coming to Rennes, I was a PhD student at the University of Warwick under the supervision of Vedran Sohinger. I also obtained my MMath at the University of Warwick.
You can contact me via email: andrew[dot]rout[at]univ-rennes[dot]fr
Research Interests
Research Interests
Mathematical Physics -- Many body-quantum problems
Dispersive PDEs -- Gibbs measures and well-posedness problems
The relationship between equlibrium measures and many-body quantum mechanics
Papers & Preprints
Well-posedness of the periodic nonlinear Schrödinger equation with concentrated nonlinearity (with Jinyeop Lee). Preprint 2025.
The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on đť•‹^3 (with Ryan L. Acosta Babb). Preprint 2025. (To appear in Discrete and Continuous Dynamical Systems)
Gibbs measures as local equilibrium KMS states for focusing nonlinear Schrödinger equations (with Zied Ammari and Vedran Sohinger). Preprint 2024.
A microscopic derivation of Gibbs measures for the 1D focusing quintic nonlinear Schrödinger equation (with Vedran Sohinger). SIAM Journal on Mathematical Analysis, Volume 57 (2025), Issue 5, 4680-4755.
A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation (with Vedran Sohinger). Communications in Partial Differential Equations 48 (2023), no. 7-8, 1008-1055.
Other Works
Microscopic Derivation of Gibbs Measures for 1D focusing nonlinear Schrödinger equations. (PhD Thesis), Mathematics Institute, University of Warwick. (2023).
Page updated
Google Sites
Report abuse