Moments of the superdiffusive elephant random walk with general step distribution

DOI10.1214/22-ECP485MaRDI QIDQ2081106

Bálint Vető, József Kiss

Publication date: 12 October 2022

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.00066

zbMATH Keywords

momentslimit distributionelephant random walksuper diffusive regime

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) (L^p)-limit theorems (60F25)

Cites Work

• Limit theorems for correlated Bernoulli random variables
• The shark random swim. (Lévy flight with memory)
• Universality of noise reinforced Brownian motions
• On the elephant random walk with stops playing hide and seek with the Mittag-Leffler distribution
• The number of zeros in elephant random walks with delays
• Gaussian fluctuation for superdiffusive elephant random walks
• Hypergeometric identities arising from the elephant random walk
• Scaling exponents of step-reinforced random walks
• A generalized binomial distribution
• A martingale approach for the elephant random walk
• Asymptotics and Criticality for a Correlated Bernoulli Process
• Counting the zeros of an elephant random walk

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