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math.DS2022
On Limit Measures and Their Supports for Stochastic Ordinary Differential Equations
Tianyuan Xu, Lifeng Chen, Jifa Jiang
This paper studies limit measures of stationary measures of stochastic ordinary differential equations on the Euclidean space and tries to determine which invariant measures of an…
math.DS2016
The Decomposition Formula and Stationary Measures for Stochastic Lotka-Volterra Systems with Applications to Turbulent Convection
Lifeng Chen, Zhao Dong, Jifa Jiang +2
Motivated by the work of Busse et al. [6] on turbulent convection in a rotating layer, we exploit the long-run behavior for stochastic Lotka-Volterra (LV) systems both in pull-back…