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MaxEnt, second variation, and generalized statistics

Maxent, second variation, and generalized statistics
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2015Embargo end date: 01 Jan 2015 Argentina English Publisher:Elsevier BVJournal:Physica A: Statistical Mechanics and its Applications, volume 436, pages 572-581 (issn: 0378-4371, Copyright policy )
Authors: Plastino, Ángel Luis; Rocca, Mario Carlos;

doi: 10.1016/j.physa.2015.05.084 , 10.48550/arxiv.1503.07580

arXiv: 1503.07580

handle: 11336/50002

MaxEnt, second variation, and generalized statistics

Abstract

There are two kinds of Tsallis-probability distributions: heavy tail ones and compact support distributions. We show here, appealing to functional analysis' tools, that for lower bound Hamiltonians only the first type guarantees a maximum for Tsallis-entropy. In the compact support instance, a case by case analysis is necessary in order to tackle the issue.

Enlarged version. 22 pages. No figures

Country
Argentina
Related Organizations
Keywords

generalized statistics, Statistical Mechanics (cond-mat.stat-mech), Generalized Statistics, Física, Classical Physics (physics.class-ph), FOS: Physical sciences, second variation, Physics - Classical Physics, Mathematical Physics (math-ph), Generalized statistics, Second variation, https://purl.org/becyt/ford/1.3, maxent, MaxEnt, Quantum equilibrium statistical mechanics (general), Maxent, https://purl.org/becyt/ford/1, Condensed Matter - Statistical Mechanics, Mathematical Physics, Second Variation

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 5
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Top 10%
Green
bronze
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