Functional limit theorems for the multi-dimensional elephant random walk
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Publication:5030974
DOI10.1080/15326349.2021.1971092zbMath1490.60105arXiv2004.02004OpenAlexW3198227935WikidataQ113848656 ScholiaQ113848656MaRDI QIDQ5030974
Publication date: 18 February 2022
Published in: Stochastic Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.02004
functional limit theoremsprobability theorymathematical physicselephant random walkmulti-dimensional elephant random walk
Sums of independent random variables; random walks (60G50) Functional limit theorems; invariance principles (60F17)
Related Items (8)
On the elephant random walk with stops playing hide and seek with the Mittag-Leffler distribution ⋮ Counting the zeros of an elephant random walk ⋮ Analysis of the smoothly amnesia-reinforced multidimensional elephant random walk ⋮ The enhanced strong invariance principle for the elephant random walk ⋮ Noise reinforced Lévy processes: Lévy-Itô decomposition and applications ⋮ New insights on the reinforced elephant random walk using a martingale approach ⋮ Joint invariance principles for random walks with positively and negatively reinforced steps ⋮ Introducing smooth amnesia to the memory of the elephant random walk
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