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math.PR2026
Feynman-Kac Representation and the Asymptotic Speed of the Fisher-KPP Equation with Finite-Activity Jump Noise
Yuhong Li, Hao Wen, Jianhua Huang
We study the asymptotic propagation speed of travelling wave solutions to the stochastic Fisher--KPP equation with multiplicative finite-activity pure jump Lévy noise, i.e.\ a comp…
math.PR2020
Exponential mixing for the fractional Magneto-Hydrodynamic equations with degenerate stochastic forcing
Xuhui Peng, Jianhua Huang, Yan Zheng
We establish the existence, uniqueness and exponential attraction properties of an invariant measure for the MHD equations with degenerate stochastic forcing acting only in the mag…
math.PR2020
Ergodicity and exponential mixing of the real Ginzburg-Landau equation with a degenerate noiss
Xuhui Peng, Jianhua Huang, Rangrang Zhang
In this paper, we establish the existence, uniqueness and attraction properties of an invariant measure for the real Ginzburg-Landau equation in the presence of a degenerate stocha…