Functional central limit theorem for dependent models with finite memory
Probability
2025-06-17 v1 Functional Analysis
Abstract
We provide complementary results for a family of models with dependence on their previous -sum. Using a martingale-based approach, we establish a functional central limit theorem and analyze the limiting behavior of the center of mass. Additionally, we explore the connection between our findings and the study of certain reinforced random walks in the literature
Cite
@article{arxiv.2506.12145,
title = {Functional central limit theorem for dependent models with finite memory},
author = {Víctor Hugo Vázquez Guevara and Manuel González-Navarrete},
journal= {arXiv preprint arXiv:2506.12145},
year = {2025}
}