Xicheng Zhang

activity

20212024

most citedCauchy Problem of Stochastic Kinetic Equations

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.DS2024

Averaging principle for SDEs with singular drifts driven by $α$ -stable processes

Mengyu Cheng, Zimo Hao, Xicheng Zhang

In this paper, we investigate the convergence rate of the averaging principle for stochastic differential equations (SDEs) with $β$ -Hölder drift driven by $α$ -stable processes. Mor…

math.PR2022★ 1 cited

Ergodicity of supercritical SDEs driven by $α$ -stable processes and heavy-tailed sampling

Xiaolong Zhang, Xicheng Zhang

Let $α \in (0, 2)$ and $d \in N$ . Consider the following stochastic differential equation (SDE) driven by $α$ -stable process in $R^{d}$ : $$ dX_t=b(X_t)dt+σ(X_{t-})d L^α_…

math.PR2021★ 1 cited

Cauchy Problem of Stochastic Kinetic Equations

Xiaolong Zhang, Xicheng Zhang

In this paper we establish the optimal regularity estimates for the Cauchy problem of stochastic kinetic equations with random coefficients in anisotropic Besov spaces. As applicat…

Averaging principle for SDEs with singular drifts driven by α-stable processes

Ergodicity of supercritical SDEs driven by α-stable processes and heavy-tailed sampling

Cauchy Problem of Stochastic Kinetic Equations

Averaging principle for SDEs with singular drifts driven by $α$ -stable processes

Ergodicity of supercritical SDEs driven by $α$ -stable processes and heavy-tailed sampling