4 papers
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…
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…
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…
vorticity Euler equations: Superposition solutions and nonlinear Markov processes
Marco Rehmeier, Marco Romito
In this note we contribute two results to the theory of the Euler equations in vorticity form on the full plane. First, we establish a generalized Lagrangian representation of…