182 citations · 1.5k across the 227 of their papers we have counts for
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Mean Exit Time and Escape Probability for a Tumor Growth System under Non-Gaussian Noise
Jian Ren, Chujin Li, Ting Gao +2
Effects of non-Gaussian stable Lévy noise on the Gompertz tumor growth model are quantified by considering the mean exit time and escape probability of the cancer cell density…
Approximation of invariant foliations for stochastic dynamical systems
Xu Sun, Xingye Kan, Jinqiao Duan
Invariant foliations are geometric structures for describing and understanding the qualitative behaviors of nonlinear dynamical systems. For stochastic dynamical systems, however,…
Escape Probability for Stochastic Dynamical Systems with Jumps
Huijie Qiao, Xingye Kan, Jinqiao Duan
The escape probability is a deterministic concept that quantifies some aspects of stochastic dynamics. This issue has been investigated previously for dynamical systems driven by G…
Global Well-posedness of the Stochastic Kuramoto-Sivashinsky Equation with Multiplicative Noise
Wei Wu, Shangbin Cui, Jinqiao Duan
Global well-posedness of the initial-boundary value problem for the stochastic Kuramoto-Sivashinsky equation in a bounded domain with a multiplicative noise is studied. It is s…