Showing math.PRShow all
2 papers · 1 filter
math.PR2025
A central limit theorem for unbalanced step-reinforced random walks
Zhishui Hu, Liang Dong
In this paper, we study a class of unbalanced step-reinforced random walks that unifies the elephant random walk, the positively step-reinforced random walk, and the negatively ste…
math.PR2024
Strong Approximations in the Almost Sure Central Limit Theorem and Limit Behavior of the Center of Mass
Zhishui Hua, Wei Wanga, Liang Dong
In this paper, we establish an almost sure central limit theorem for a general random sequence under a strong approximation condition. Additionally, we derive the law of the iterat…