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arXiv · 1503.07580

MaxEnt, second variation, and generalized statistics

A. Plastino·M. C. Rocca
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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.

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A. Plastino, M. C. Rocca. 2015-03-25. MaxEnt, second variation, and generalized statistics. https://arxiv.org/abs/1503.07580

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