Functional central limit theorems for the dynamic elephant random walk

Go Tokumitsu

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arXiv · 2507.01708

Functional central limit theorems for the dynamic elephant random walk

Go Tokumitsu

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Abstract

We prove functional central limit theorems for the dynamic elephant random walk in the $\sqrt{n}$ and $\sqrt{n\log n}$ orders, by applying the martingale convergence theorem and Karamata's theory of regular variation.

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Go Tokumitsu. 2025-07-02. Functional central limit theorems for the dynamic elephant random walk. https://arxiv.org/abs/2507.01708

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