The maximum relative entropy principle

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dc.creatorBanavar, Jayanth
dc.creatorMaritan, Amos
dc.date2007-03-23
dc.date.accessioned2026-07-07T07:53:23Z
dc.date.available2026-07-07T07:53:23Z
dc.descriptionWe show that the naive application of the maximum entropy principle can yield answers which depend on the level of description, i.e. the result is not invariant under coarse-graining. We demonstrate that the correct approach, even for discrete systems, requires maximization of the relative entropy with a suitable reference probability, which in some instances can be deduced from the symmetry properties of the dynamics. We present simple illustrations of this crucial yet surprising feature in examples of classical and quantum statistical mechanics, as well as in the field of ecology.
dc.description4 pages, no figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0703622
dc.identifierhttp://arxiv.org/abs/cond-mat/0703622
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126234
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleThe maximum relative entropy principle
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