Stable functional CLTs for scaled elephant random walks

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We establish stable functional central limit theorems for scaled elephant random walks in the diffusive, critical, and superdiffusive cases using the martingale approach.

💡 Research Summary

The paper investigates functional central limit theorems (FCLTs) for the one‑dimensional Elephant Random Walk (ERW), a discrete‑time process with infinite memory introduced by Schütz and Trimper (2004). Although the ERW is non‑Markovian in appearance, its conditional expectation satisfies
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Stable functional CLTs for scaled elephant random walks

💡 Research Summary

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