Asymptotic analysis of the elephant random walk

DOI10.1088/1742-5468/ABCD36OpenAlexW3118323132MaRDI QIDQ5857474

Cristian F. Coletti, Ioannis Papageorgiou

Publication date: 1 April 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03142

zbMATH Keywords

diffusionexact resultsstochastic particle dynamics

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (5)

On the elephant random walk with stops playing hide and seek with the Mittag-Leffler distribution ⋮ Counting the zeros of an elephant random walk ⋮ Universality of noise reinforced Brownian motions ⋮ New insights on the reinforced elephant random walk using a martingale approach ⋮ Joint invariance principles for random walks with positively and negatively reinforced steps

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• Replica-Mean-Field Limits for Intensity-Based Neural Networks
• Central limit theorem and related results for the elephant random walk
• On the almost sure central limit theorem for the elephant random walk

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