On the principle of minimum growth rate in multiplicatively interacting stochastic processes

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dc.creatorFujihara, Akihiro
dc.creatorOhtsuki, Toshiya
dc.creatorYamamoto, Hiroshi
dc.date2006-08-08
dc.date.accessioned2026-07-07T07:19:36Z
dc.date.available2026-07-07T07:19:36Z
dc.descriptionA method of moment inequalities is used to derive the principle of minimum growth rate in multiplicatively interacting stochastic processes(MISPs). When a value of a power-law exponent at the tail of probability distribution function exists in a range $0 < s \le 1$, a first-order moment diverges and an equality for a growth rate of systems breaks down. From the estimate of inequalities, we newly find a conditional inequality which determines the growth rate, and then the exponent in $0 < s \le 1$.
dc.description5 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0608205
dc.identifierhttp://arxiv.org/abs/cond-mat/0608205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114684
dc.subjectStatistical Mechanics
dc.titleOn the principle of minimum growth rate in multiplicatively interacting stochastic processes
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