Limiting behaviors of generalized elephant random walks

DOI10.1063/5.0105789OpenAlexW4310875829MaRDI QIDQ5883024

Yuichi Shiozawa

Publication date: 29 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.12595

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Cites Work

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• Asymptotics for dependent Bernoulli random variables
• On the almost sure invariance principle for dependent Bernoulli random variables
• Limit theorems for correlated Bernoulli random variables
• On the center of mass of the elephant random walk
• Gaussian fluctuation for superdiffusive elephant random walks
• Limit Theorems and Absorption Problems for One-Dimensional Correlated Random Walks
• A generalized binomial distribution
• A martingale approach for the elephant random walk
• Asymptotics and Criticality for a Correlated Bernoulli Process
• ASYMPTOTIC BEHAVIORS FOR CORRELATED BERNOULLI MODEL
• Counting the zeros of an elephant random walk
• Concerning Two Series for the Gamma Function
• Central limit theorem and related results for the elephant random walk
• Cramér moderate deviations for the elephant random walk

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