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math-ph2025
Port-Hamiltonian Neural Networks: From Theory to Simulation of Interconnected Stochastic Systems
Luca Di Persio, Matthias Ehrhardt, Youness Outaleb +1
This work introduces a new framework integrating port-Hamiltonian systems (PHS) and neural network architectures. This framework bridges the gap between deterministic and stochasti…
math-ph2024
Classical gases with singular densities
Luca Di Persio, Yuri Kondratiev, Viktorya Vardanyan
We study classical continuous systems with singular distributions of velocities. Radon measures with the infinite mass give these distributions. Positions of particles in such syst…