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20202025
most citedApproximation of the invariant measure for stable SDE by the Euler-Maruyama scheme with decreasing step-sizes

1 citations · 3 across the 7 of their papers we have counts for

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math.PR2025

Optimal Rates for Ergodic SDEs Driven by Multiplicative -Stable Processes in Wasserstein-1 distance

Xinghu Jin, Xiaolong Zhang

This paper establishes the quantitative stability of invariant measures for -valued ergodic stochastic differential equations driven by rotationally invariant m…

math.PR2024

Unbiased approximation of the ergodic measure for piecewise -stable Ornstein-Uhlenbeck processes arising in queueing networks

Xinghu Jin, Guodong Pang, Yu Wang +1

Piecewise -stable Ornstein-Uhlenbeck (OU) processes arising in queue networks usually do not have an explicit dissipation, which makes the related numerical methods such as Eule…

math.PR2023★ 1 cited

Approximation of the invariant measure for stable SDE by the Euler-Maruyama scheme with decreasing step-sizes

Peng Chen, Xinghu Jin, Yimin Xiao +1

Let be the solution of the stochastic differential equation where is a Lipsc…

math.PR2023

Approximation of the ergodic measure of SDEs with singular drift by Euler-Maruyama scheme

Xinghu Jin, Wei Wang, Lihu Xu +1

We study the approximation of the ergodic measure of the following stochastic differential equation (SDE) on : \begin{eqnarray}\label{e:SDEE} d X_t &=& (b_1(X_t)+b_2(…

math.PR2022

An approximation to the invariant measure of the limiting diffusion of G/Ph/n+GI queues in the Halfin-Whitt regime and related asymptotics

Xinghu Jin, Guodong Pang, Lihu Xu +1

In this paper, we develop a stochastic algorithm based on the Euler--Maruyama scheme to approximate the invariant measure of the limiting multidimensional diffusion of …

math.PR2021★ 1 cited

An approximation to steady-state of M/Ph/n+M queue

Xinghu Jin, Guodong Pang, Lihu Xu +1

In this paper, we develop a stochastic algorithm based on Euler-Maruyama scheme to approximate the invariant measure of the limiting multidimensional diffusion of the qu…