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math.AP2026
NLS with exponential nonlinearity on compact surfaces
Filone G. Longmou-Moffo, Mouhamadou Sy
In this paper, we establish a probabilistic global theory in for the NLS with a Moser-Trudinger nonlinearity posed on compact surfaces. This equation is known to be the two d…
math.AP2025
On Properties of Statistically Stationary Solutions to the One-Dimensional Schrödinger Map Equation
Emanuela Gussetti, Mouhamadou Sy
We investigate further qualitative properties of statistically stationary solutions to the Schrödinger map equation (SME) and the Binormal Curvature Flow (BCF), continuing the wor…
math.AP2025
Probabilistic global-wellposedness for the energy-supercritical Schrödinger equations on compact manifolds
Seynabou Gueye, Filone G. Longmou-Moffo, Mouhamadou Sy
We consider the nonlinear Schrödinger equations with a general nonlinearity power in all dimensions. We construct invariant measures concentrated on Sobolev spaces of singul…