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math.PR2026
Approximate independence of typical marginals of high-dimensional probability measures
Manuel Arnese, Daniel Lacker
For many probability measures on , and for sufficiently smaller than , most -dimensional coordinate marginals are close to product measures. We prove this i…
math.PR2026
Quantitative propagation of chaos and universality for asymmetric Langevin spin glass dynamics
Manuel Arnese, Kevin Hu
We obtain quantitative estimates on quenched propagation of chaos for Langevin spin glass dynamics with i.i.d. disorder. Prior work in the case of Gaussian disorder established the…
math.PR2026
Sharp propagation of chaos for mean field Langevin dynamics, control, and games
Manuel Arnese, Daniel Lacker
We establish the sharp rate of propagation of chaos for McKean-Vlasov equations with coefficients that are non-linear in the measure argument, i.e., not necessarily given by pairwi…