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math.PR2022★ 1 cited
Ergodicity and long-time behavior of the Random Batch Method for interacting particle systems
Shi Jin, Lei Li, Xuda Ye +1
We study the geometric ergodicity and the long time behavior of the Random Batch Method for interacting particle systems, which exhibits superior numerical performance in recent la…
math.PR2021★ 3 cited
Investigating the integrate and fire model as the limit of a random discharge model: a stochastic analysis perspective
Jian-Guo Liu, Ziheng Wang, Yantong Xie +2
In the mean field integrate-and-fire model, the dynamics of a typical neuron within a large network is modeled as a diffusion-jump stochastic process whose jump takes place once th…