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math.DS2023
Moderate deviations for two-time scale systems with mixed fractional Brownian motion
Xiaoyu Yang, Yuzuru Inahama, Yong Xu
This work focuses on moderate deviations for two-time scale systems with mixed fractional Brownian motion. Our proof uses the weak convergence method which is based on the variatio…
math.PR2023
Moderate deviations for rough differential equations
Yuzuru Inahama, Yong Xu, Xiaoyu Yang
Small noise problems are quite important for all types of stochastic differential equations. In this paper we focus on rough differential equations driven by scaled fractional Brow…
math.PR2023★ 1 cited
Large deviation principle for slow-fast system with mixed fractional Brownian motion
Yuzuru Inahama, Yong Xu, Xiaoyu Yang
This work focuses on a slow-fast system perturbed by mixed fractional Brownian motion with Hurst parameter . The integral with respect to fractional Brownian motion is…