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math.PR2025
A law of large numbers for kinetic interacting diffusions
Carlo Bellingeri, Fabio Coppini
We study the convergence of the empirical distribution associated with a system of interacting kinetic particles subject to independent Brownian forcing in a finite horizon setting…
math.PR2025
A Stochastic Reconstruction Theorem on Rectangular Increments with an Application to a Mixed Hyperbolic SPDE
Carlo Bellingeri, Hannes Kern
We extend the stochastic reconstruction theorem to a setting where the underlying family of distributions satisfies some natural conditions involving rectangular increments. This a…