Growth and Structure of Stochastic Sequences

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dc.creatorBen-Naim, E.
dc.creatorKrapivsky, P. L.
dc.date2002-08-05
dc.date.accessioned2026-07-07T02:46:42Z
dc.date.available2026-07-07T02:46:42Z
dc.descriptionWe introduce a class of stochastic integer sequences. In these sequences, every element is a sum of two previous elements, at least one of which is chosen randomly. The interplay between randomness and memory underlying these sequences leads to a wide variety of behaviors ranging from stretched exponential to log-normal to algebraic growth. Interestingly, the set of all possible sequence values has an intricate structure.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0208072
dc.identifierhttp://arxiv.org/abs/cond-mat/0208072
dc.identifierJ. Phys. A 35, L557 (2002)
dc.identifierdoi:10.1088/0305-4470/35/41/101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19731
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.subjectProbability
dc.titleGrowth and Structure of Stochastic Sequences
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