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math.PR2024
Averaging principle for semilinear slow-fast rough partial differential equations
Miaomiao Li, Yunzhang Li, Bin Pei +1
In this paper, we investigate the averaging principle for a class of semilinear slow-fast partial differential equations driven by finite-dimensional rough multiplicative noise. Sp…
math.PR2024
Non-Markovian dynamics: the memory-dependent probability density evolution equations
Bin Pei, Lifang Feng, Yunzhang Li +1
This paper aims to investigate the non-Markovian dynamics. The governing equations are derived for the probability density functions (PDFs) of non-Markovian stochastic responses to…
math.PR2024
Large deviation principle for slow-fast systems with infinite-dimensional mixed fractional Brownian motion
Wenting Xu, Yong Xu, Xiaoyu Yang +1
This work is concerned with the large deviation principle for a family of slow-fast systems perturbed by infinite-dimensional mixed fractional Brownian motion with Hurst parameter…