具有局部湮灭的二阶粒子系统的标度极限

IF 1.3 3区数学 Q2 STATISTICS & PROBABILITY

Electronic Journal of Probability Pub Date : 2022-05-15 DOI:10.1214/23-ejp973

Ruojun Huang

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引用次数: 1

摘要

对于$\mathbb R^d$中的二阶粒子系统，在空间中局部成对湮灭，我们向退化椭圆偏微分方程证明了其位置和速度经验测度的标度极限。关键成分是相关的次椭圆算子的格林函数估计和It-o-Tanaka技巧。

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Scaling limit for a second-order particle system with local annihilation

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 It\^o-Tanaka trick.

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来源期刊

Electronic Journal of Probability 数学-统计学与概率论

CiteScore

1.80

自引率

7.10%

发文量

119

审稿时长

4-8 weeks

期刊介绍： The Electronic Journal of Probability publishes full-size research articles in probability theory. The Electronic Communications in Probability (ECP), a sister journal of EJP, publishes short notes and research announcements in probability theory. Both ECP and EJP are official journals of the Institute of Mathematical Statistics and the Bernoulli society.