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math.PR2026
Delayed Blow-up in 3D Fluids via Pseudo-transport Noise
Shuaijie Jiao, Marco Romito
We establish scaling limit results for fluid dynamics equations driven by pseudo-transport noise. The behaviour of noise at small scales is governed by a parameter a. This extends…
math.PR2026
Universality in Deep Neural Networks: An approach via the Lindeberg exchange principle
Filippo Giovagnini, Sotirios Kotitsas, Marco Romito
We consider the infinite-width limit of a fully connected deep neural network with general weights, and we prove quantitative general bounds on the -Wasserstein distance between…
math.PR2025
Gaussian Fluctuations for the Stochastic Landau-Lifshitz Navier-Stokes Equation in Dimension
Sotiris Kotitsas, Marco Romito, Zhilin Yang +1
We revisit the large-scale Gaussian fluctuations for the stochastic Landau-Lifshitz Navier-Stokes equation (LLNS) at and above criticality, using the method in \cite{CGT24}. With t…