Lq−Lp型奇异平均场相互作用随机粒子系统的混沌传播

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Electronic Communications in Probability Pub Date : 2023-01-01 DOI:10.1214/23-ecp539

Milica Tomavsevi'c

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引用次数: 7

摘要

在这项工作中，我们证明了在平均场相互作用中随机粒子系统的混沌的适定性和传播，假设相互作用核属于一个合适的$L_t^q-L_x^p$空间。与[2]中最近提出的大偏差原理方法相反，这里的证明的主要成分是[3]中引入的\textit｛Partial Girsanov变换｝，并在本工作的一般环境中发展起来。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Propagation of chaos for stochastic particle systems with singular mean-field interaction of Lq−Lp type

In this work, we prove the well-posedness and propagation of chaos for a stochastic particle system in mean-field interaction under the assumption that the interacting kernel belongs to a suitable $L_t^q-L_x^p$ space. Contrary to the large deviation principle approach recently proposed in [2], the main ingredient of the proof here are the \textit{Partial Girsanov transformations} introduced in [3] and developed in a general setting in this work.

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来源期刊

Electronic Communications in Probability 工程技术-统计学与概率论

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Electronic Communications in Probability (ECP) publishes short research articles in probability theory. Its sister journal, the Electronic Journal of Probability (EJP), publishes full-length articles in probability theory. Short papers, those less than 12 pages, should be submitted to ECP first. EJP and ECP share the same editorial board, but with different Editors in Chief.