Limit Theorems for the ‘Laziest’ Minimal Random Walk Model of Elephant Type

Author:

Miyazaki Tatsuya,Takei MasatoORCID

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference23 articles.

1. Baur, E., Bertoin, J.: Elephant random walks and their connection to Pólya-type urns. Phys. Rev. E 94, 052134 (2016)

2. Bercu, B.: A martingale approach for the elephant random walk. J. Phys. A 51, 015201 (2018)

3. Bercu, B., Laulin, L.: On the multi-dimensional elephant random walk. J. Stat. Phys. 175, 1146–1163 (2019)

4. Bertoin, J.: Noise reinforcement for Lévy processes, to appear in Ann. Inst. Henri Poincaré Probab. Stat., arXiv:1810.08364 (2018)

5. Bertoin, J.: Universality of noise reinforced Brownian motions, arXiv:2002.09166 (2020)

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1. Counterbalancing steps at random in a random walk;Journal of the European Mathematical Society;2023-12-17

2. How to estimate the memory of the elephant random walk;Communications in Statistics - Theory and Methods;2022-11-01

3. Further results on the minimal random walk;Journal of Physics A: Mathematical and Theoretical;2022-10-04

4. On the Elephant Random Walk with Stops Playing Hide and Seek with the Mittag–Leffler Distribution;Journal of Statistical Physics;2022-08-20

5. Introducing smooth amnesia to the memory of the Elephant Random Walk;Electronic Communications in Probability;2022-01-01

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