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math.AP2025
Self-similar blowup from arbitrary data for supercritical wave maps with additive noise
Irfan Glogić, Martina Hofmanová, Eliseo Luongo
We consider stochastically perturbed wave maps from into , in all energy-supercritical dimensions . We show that corotational non-degener…
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…