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math.PR2026
Smoluchowski-Kramers approximation with Lévy noise in the Meyer--Zheng topology
Xueru Liu, Qianqian Jiang, Wei Wang
We study the Smoluchowski-Kramers approximation for a stochastic wave equation with state-dependent damping on a bounded domain, driven by both a -Wiener process and a Lévy proc…
math.PR2026
Stable and Gaussian Fluctuation Limit of a Lévy-Driven Slow-Fast System with Polynomial Dissipation
Qingming Zhao, Xueru Liu, Wei Wang
We study fluctuation limit of a slow-fast system driven by -stable Lévy noise with The slow component is generated by an odd polynomial function while in t…
math.PR2026
Approximation of Random Differential Equations Driven by Physical Brownian Motion with Fast Oscillating Noise
Qingming Zhao, Xueru Liu, Wei Wang
We investigate approximation of random differential equations driven by semimartingales satisfying a singularly perturbed Langevin equation with scaled mixing random force. By a di…