Work

Elephant Random Walk with a Random Step Size and Gradually Increasing Memory and Delays

Year: 2024

Type: article

Abstract: The ERW model was introduced twenty years ago to study memory effects in a one-dimensional discrete-time random walk with a complete memory of its past throughout a parameter p between zero and one. Several variations of the ERW model have recently been introduced. In this work, we investigate the asymptotic normality of the ERW model with a random step size and gradually increasing memory and delays. In particular, we extend some recent results in this subject.

Source: Axioms

DOI: 10.3390/axioms13090629

Author: Rafik Aguech

Institution: King Saud University

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funder: King Saud University