boltzmann equation 1fisher information 1kac particle system 1propagation of chaos 1soft potentials 1Wasserstein distance 1
From the 1 of 2 linked papers with an AI index.
2 papers
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…
math.PR2026
Central limit theorem for a partially observed interacting system of Hawkes processes I: subcritical case
Chenguang Liu, Liping Xu, An Zhang
We consider a system of Hawkes processes and observe the actions of a subpopulation of size up to time , where is large. The influence relationships between ea…