由跳跃扩散驱动的带时滞空间结构神经元网络的混沌传播
概率论
2020-02-28 v3
摘要
考虑了由具有单调系数、完全路径依赖时滞和无序参数的跳跃扩散噪声驱动的空间结构神经网络。证明了相关的 McKean-Vlasov 方程的良好适定性，以及在无限种群极限下相应的混沌传播结果。我们对 McKean-Vlasov 方程的存在性结果基于欧拉近似，这是该方法首次应用于此类方程。
引用
@article{arxiv.1805.01654,
title = {Propagation of Chaos for Stochastic Spatially Structured Neuronal Networks with Delay driven by Jump Diffusions},
author = {Sima Mehri and Michael Scheutzow and Wilhelm Stannat and Bijan Z. Zangeneh},
journal= {arXiv preprint arXiv:1805.01654},
year = {2020}
}
备注
In this version, a shorter title has been chosen. The manuscript has been accepted for publication in Annals of Applied Probability