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20212025
most citedOn ergodic invariant measures for the stochastic Landau-Lifschitz-Gilbert equation in 1D

1 citations · 1 across the 5 of their papers we have counts for

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5 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.PR2023

Pathwise central limit theorem and moderate deviations via rough paths for SPDEs with multiplicative noise

Emanuela Gussetti

We put forward a general framework for the study of a pathwise central limit theorem (CLT) and a moderate deviation principle (MDP) for stochastic partial differential equations pe…

math.PR2022★ 1 cited

On ergodic invariant measures for the stochastic Landau-Lifschitz-Gilbert equation in 1D

Emanuela Gussetti

We establish existence of an ergodic invariant measure on for the stochastic Landau-Lifschitz-Gilbert equation on a bounded one dimens…

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…