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Central limit theorem and related results for the elephant random walk

  • Published:2017-05 Issue:5 Volume:58 Page:053303
  • ISSN:0022-2488
  • Container-title:Journal of Mathematical Physics
  • language:en
  • Short-container-title:Journal of Mathematical Physics

Author:

Coletti Cristian F.1ORCID,Gava Renato2,Schütz Gunter M.3ORCID

Affiliation:

1. Centro de Matemática, Computação e Cognição, Universidade Federal do ABC, Avenida dos Estados, 5001 Santo André, São Paulo, Brazil

2. Departamento de Estatística, Universidade Federal de São Carlos, Rodovia Washington Luiz, Km 235, 13565-905 São Carlos, São Paulo, Brazil

3. Institute of Complex Systems II, Forschungszentrum Jülich, 52425 Jülich, Germany

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Cited by 55 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. Strong limit theorems for step-reinforced random walks;Stochastic Processes and their Applications;2024-12

2. Cramér’s moderate deviations for martingales with applications;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2024-08-01

3. Elephant polynomials;Aequationes mathematicae;2024-06-22

4. Strong invariance principle for a counterbalanced random walk;Applied Mathematics-A Journal of Chinese Universities;2024-06

5. Gaussian fluctuations of the elephant random walk with gradually increasing memory;Journal of Physics A: Mathematical and Theoretical;2024-01-31
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