Prior Measure for Nonextensive Entropy

dc.creatorBrouers, F.
dc.creatorSotolongo, O.
dc.date2004-10-28
dc.date.accessioned2026-07-25T15:43:23Z
dc.descriptionWe show that if one uses the invariant form of the Boltzmann-Shannon continuous entropy, it is possible to obtain the generalized Pareto-Tsallis density function, using an appropriate "prior" measure m_{q}(x) and a "Boltzman constraint" which formally is equivalent to the Tsallis q-average constraint on the random variable X. We derive the Tsallis prior function and study its scaling asymptotic behavior. When the entropic index q tends to 1, m_{q}(x) tends to 1 for all values of x as this should be.
dc.description9 pages, 2 pictures
dc.identifierhttps://arxiv.org/abs/cond-mat/0410738
dc.identifierhttp://arxiv.org/abs/cond-mat/0410738
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/36368
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titlePrior Measure for Nonextensive Entropy
dc.typetext

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