3 papers
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 work…
math.AP2025
Statistical solutions to the Schrödinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation
Emanuela Gussetti, Martina Hofmanová
We prove the existence of statistically stationary solutions to the Schrödinger map equation on a one-dimensional domain, with null Neumann boundary conditions. We deal directly wi…
math.PR2021
A pathwise stochastic Landau-Lifshitz-Gilbert equation with application to large deviations
Emanuela Gussetti, Antoine Hocquet
Using a rough path formulation, we investigate existence, uniqueness and regularity for the stochastic Landau-Lifshitz-Gilbert equation with Stratonovich noise on the one dimension…