New Insights on the Reinforced Elephant Random Walk Using a Martingale Approach
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
https://link.springer.com/content/pdf/10.1007/s10955-021-02834-x.pdf
Reference27 articles.
1. Baur, E.: On a class of random walks with reinforced memory. J. Stat. Phys. 181(3), 772–802 (2020)
2. Baur, E., Bertoin, J.: Elephant random walks and their connection to pólya-type urns. Phys. Rev. E 94, 052134 (2016)
3. Bercu, B.: A martingale approach for the elephant random walk. J. Phys. A 51(1), 015201 (2018)
4. Bercu, B., Chabanol, M.-L., Ruch, J.-J.: Hypergeometric identities arising from the elephant random walk. J. Math. Anal. Appl. 480(1), 123360 (2019)
5. Bercu, B., Laulin, L.: On the multi-dimensional elephant random walk. J. Stat. Phys. 175(6), 1146–1163 (2019)
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1. Analysis of the Smoothly Amnesia-Reinforced Multidimensional Elephant Random Walk;Journal of Statistical Physics;2023-10-16
2. Rates of Convergence in the Central Limit Theorem for the Elephant Random Walk with Random Step Sizes;Journal of Statistical Physics;2023-09-27
3. Martingales for physicists: a treatise on stochastic thermodynamics and beyond;Advances in Physics;2023-04-03
4. Broadcasting‐induced colorings of preferential attachment trees;Random Structures & Algorithms;2023-02-23
5. Introducing smooth amnesia to the memory of the Elephant Random Walk;Electronic Communications in Probability;2022-01-01
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