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math.PR2025
Propagation of chaos for multi-species moderately interacting particle systems up to Newtonian singularity
José Antonio Carrillo, Shuchen Guo, Alexandra Holzinger
We derive a class of multi-species aggregation-diffusion systems from stochastic interacting particle systems via relative entropy method with quantitative bounds. We show an algeb…
math.PR2024
Fluctuations around the mean-field limit for attractive Riesz potentials in the moderate regime
Li Chen, Alexandra Holzinger, Ansgar Jüngel
A central limit theorem is shown for moderately interacting particles in the whole space. The interaction potential approximates singular attractive or repulsive potentials of sub-…