Showing 2026Show all
2 papers · 1 filter
math-ph2026
A perturbative microscopic derivation of the focusing 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.AP2026
Applications of renormalisation to orthonormal Strichartz estimates and the NLS system on the circle
Sonae Hadama, Andrew Rout
In this paper, we introduce a renormalisation procedure for the density associated with the system of nonlinear Schrödinger equations (NLSS) on a circle. We show that this renormal…