Introducing smooth amnesia to the memory of the Elephant Random Walk
Author:
Affiliation:
1. Université de Bordeaux, Institut de Mathématiques de Bordeaux, UMR 5251, 351 cours de la libération, 33405 Talence cedex, France
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference19 articles.
1. Erich Baur and Jean Bertoin, Elephant random walks and their connection to pólya-type urns., Physical review. E 94, 052134 (2016).
2. Erich Baur, On a class of random walks with reinforced memory, J. Stat. Phys. (2020).
3. Bernard Bercu, A martingale approach for the elephant random walk, J. Phys. A 51 (2018), no. 1, 015201, 16.
4. Bernard Bercu, On the elephant random walk with stops playing hide and seek with the Mittag-Leffler distribution, 2112.10405 (2022).
5. Bernard Bercu and Víctor Hugo Vázquez Guevara, New insights on the minimal random walk, 2112.09321 (2021).
Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Gaussian fluctuations of the elephant random walk with gradually increasing memory;Journal of Physics A: Mathematical and Theoretical;2024-01-31
2. On the central limit theorem for the elephant random walk with gradually increasing memory and random step size;AIMS Mathematics;2024
3. Analysis of the Smoothly Amnesia-Reinforced Multidimensional Elephant Random Walk;Journal of Statistical Physics;2023-10-16
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