Work

Functional central limit theorem for dependent models with finite memory

Year: 2025

Type: preprint

Abstract: We provide complementary results for a family of models with dependence on their previous $k$-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

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2506.12145

Authors: Guevara, Víctor Hugo Vázquez, González-Navarrete, Manuel

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415110898

Cites:

Cited by:

Related to: