A version of Herbert A. Simon's model with slowly fading memory and its connections to branching processes

DOI10.1007/S10955-019-02316-1zbMath1481.60184arXiv1901.08311OpenAlexW3100322488WikidataQ127841597 ScholiaQ127841597MaRDI QIDQ2274477

Jean Bertoin

Publication date: 19 September 2019

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

Full work available at URL: https://arxiv.org/abs/1901.08311

zbMATH Keywords

memorypreferential attachmentcontinuous state branching processheavy tail distributionsCrump-Mode-Jagers branching processYule-Simon model

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Applications of branching processes (60J85)

Related Items (2)

On a class of random walks with reinforced memory ⋮ On a two-parameter Yule-Simon distribution

Cites Work

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• Fluctuations of Lévy processes with applications. Introductory lectures
• Random Graphs and Complex Networks
• ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS
• On the convergence of supercritical general (C-M-J) branching processes

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