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math.DS2025
Generalized Ornstein-Uhlenbeck process for affine stochastic functional differential equations and its applications
Xiang Lv
This paper studies the existence and global stability of generalized Ornstein-Uhlenbeck process for affine stochastic functional differential equations. Various very basic and impo…
math.DS2025
An abstract criterion on the existence and global stability of stationary solutions for random dynamical systems and its applications
Xiang Lv
We prove a concise and easily verifiable criterion on the existence and global stability of stationary solutions for random dynamical systems (RDSs). As a consequence, we can show…