Central limit theorem and related results for the elephant random walk

DOI10.1063/1.4983566zbMath1375.60086arXiv1608.01662OpenAlexW3102051692WikidataQ105583954 ScholiaQ105583954MaRDI QIDQ5738712

Gunter M. Schütz, Cristian F. Coletti, Renato J. Gava

Publication date: 12 June 2017

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

Full work available at URL: https://arxiv.org/abs/1608.01662

zbMATH Keywords

law of large numberscentral limit theoremmartingale differencesrandom walkinfinite memorysuper diffusive behavior

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

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