3 papers
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…
math.PR2026
On the Approximation of Differential Equations Driven by Some Random Processes as Rough Paths
Qingming Zhao, Xueru Liu, Wei Wang
We explore the limit of stochastic differential equations driven by some random processes satisfying singularly perturbed second order stochastic differential equations. The main t…
math.PR2025
On the small mass limit of stochastic wave equation driven by cylindrical stable process
Qingming Zhao, Xueru Liu, Wei Wang
We explore the small mass limit of a stochastic wave equation (SWE) driven by cylindrical -stable noise, where , and prove that it converges to a stochastic heat e…