Andrew Rout

activity

20242026

collaborators

3 papers

math-ph2026

A perturbative microscopic derivation of the focusing $Φ_{1}^{6}$ measure with rough cut-off

Shahnaz Farhat, Andrew Rout

We give a derivation of the Gibbs measure for the focusing nonlinear Schrödinger equation (NLS) on the circle with rough cut-off. This extends earlier work by Sohinger and the seco…

math.AP2025

The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on $T^{3}$

Ryan L. Acosta Babb, Andrew Rout

In this article, we consider Hartree equations generalised to $2 p + 1$ order nonlinearities. These equations arise in the study of the mean-field limits of Bose gases with $p$ -body i…

math.AP2024

Gibbs measures as local equilibrium KMS states for focusing nonlinear Schrödinger equations

Zied Ammari, Andrew Rout, Vedran Sohinger

In this paper, we are concerned with the study of statistical equilibria for focusing nonlinear Schrödinger and Hartree equations on the d-dimensional torus when d=1,2,3. Due to th…

A perturbative microscopic derivation of the focusing Φ16​ measure with rough cut-off

The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on T3

Gibbs measures as local equilibrium KMS states for focusing nonlinear Schrödinger equations

A perturbative microscopic derivation of the focusing $Φ_{1}^{6}$ measure with rough cut-off

The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on $T^{3}$