论文标题
二阶粒子系统的缩放限制局部歼灭
Scaling limit for a second-order particle system with local annihilation
论文作者
论文摘要
对于$ \ mathbb r^d $中的二阶粒子系统，可能会受到局部空间成对歼灭的约束，我们证明了其对位置和速度偏离椭圆形部分微分方程的经验度量的缩放限制。至关重要的成分是Green的功能估计值，对相关的低纤维化操作员和Itô-Tanaka的技巧。
For a second-order particle system in $\mathbb R^d$ subject to locally-in-space pairwise annihilation, we prove a scaling limit for its empirical measure on position and velocity towards a degenerate elliptic partial differential equation. Crucial ingredients are Green's function estimates for the associated hypoelliptic operator and an Itô-Tanaka trick.
