most citedConvergence rate of Euler--Maruyama scheme to the invariant probability measure under total variation distance for the SDEs

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math.PR2026

Limit theorems for strongly and intermediately supercritical branching processes in Markovian environment with linear fractional offspring distributions

Yinna Ye

In this paper, we study the asymptotic behaviour for distribution of supercritical branching process in a Markovian environment with linear fractional offspring distributions. A ph…

math.PR2026★ 2 cited

Convergence rate of Euler--Maruyama scheme to the invariant probability measure under total variation distance for the SDEs

Yuke Wang, Yinna Ye

This article shows the geometric decay rate of Euler-Maruyama scheme for one-dimensional stochastic differential equation towards its invariant probability measure under total vari…

math.PR2024

From law of the iterated logarithm to Zolotarev distance for supercritical branching processes in random environment

Yinna Ye

Consider a supercritical branching process in an independent and identically distributed environment. Based on some recent development in martingale limit theory,…