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math.DS2018★ 1 cited
Fokker-Planck equation driven by asymmetric Lévy motion
Xiao Wang, Wenpeng Shang, Xiaofan Li +2
Non-Gaussian Lévy noises are present in many models for understanding underlining principles of physics, finance, biology and more. In this work, we consider the Fokker-Planck equa…
math.DS2013★ 58 cited
Nonlinear stability of flock solutions in second-order swarming models
J. A. Carrillo, Y. Huang, S. Martin
In this paper we consider interacting particle systems which are frequently used to model collective behavior in animal swarms and other applications. We study the stability of ori…