Functional central limit theorems for the dynamic elephant random walk

2025/07/02 by Tokumitsu, Go
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2507.01708

Abstract

We prove functional central limit theorems for the dynamic elephant random walk in the √(n) and √(nlog n) orders, by applying the martingale convergence theorem and Karamata's theory of regular variation.

Citations

• Limit theorems for the fluctuation of the dynamic elephant random walk in the superdiffusive case

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