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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…
physics.optics2025
Fisher-Based Sensitivity Framework for Rydberg Atom Microwave Electrometry
Chen-Rong Liu, Runxia Tao, Xiang Lv +4
Fisher information provides a rigorous theoretical benchmark for evaluating quantum sensor sensitivity; however, a comprehensive framework for quantifying the fundamental limits of…