3 papers
math.DS2020
On the Stochastic Singular Cucker--Smale Model: Well-Posedness, Collision-Avoidance and Flocking
Qiao Huang, Xiongtao Zhang
We study the Cucker--Smale (C-S) flocking systems involving both singularity and noise. We first show the local strong well-posedness for the stochastic singular C-S systems before…
math.PR2019
Rolling with Random Slipping and Twisting: A Large Deviation Point of View
Qiao Huang, Wei Wei, Jinqiao Duan
We study a rolling model from the perspective of probability. More precisely, we consider a Riemannian manifold rolling against Euclidean space, where the rolling is coupled with r…
math.DS2018
Numerical analysis and applications of Fokker-Planck equations for stochastic dynamical systems with multiplicative -stable noises
Yanjie Zhang, Xiao Wang, Qiao Huang +2
The Fokker-Planck equations (FPEs) for stochastic systems driven by additive symmetric -stable noises may not adequately describe the time evolution for the probability densitie…