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boltzmann equation 1fisher information 1kac particle system 1propagation of chaos 1soft potentials 1Wasserstein distance 1

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math.AP2026

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials

Chenguang Liu, Liping Xu, An Zhang

The paper analyzes the Kac particle system for the spatially homogeneous Boltzmann equation with moderately soft (non‑cutoff) potentials, proving uniqueness in law and providing an…