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math.DS2023
Hölder regularity for the trajectories of generalized charged particles in 1D
Thomas Geert de Jong, Patrick van Meurs
We prove Hölder regularity for the trajectories of an interacting particle system. The particle velocities are given by the nonlocal and singular interactions with the other partic…
math.DS2023★ 5 cited
How neural networks learn to classify chaotic time series
Alessandro Corbetta, Thomas Geert de Jong
Neural networks are increasingly employed to model, analyze and control non-linear dynamical systems ranging from physics to biology. Owing to their universal approximation capabil…