Artículos de revistas
MaxEnt, second variation, and generalized statistics
Fecha
2015-06Registro en:
Plastino, Ángel Luis; Rocca, Mario Carlos; MaxEnt, second variation, and generalized statistics; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 436; 6-2015; 572-581
0378-4371
CONICET Digital
CONICET
Autor
Plastino, Ángel Luis
Rocca, Mario Carlos
Resumen
There are two kinds of Tsallis-probability distributions: heavy tail ones and compact support distributions. We show here, by appeal to functional analysis' tools, that for lower bound Hamiltonians, the second variation's analysis of the entropic functional guarantees that the heavy tail q-distribution constitutes a maximum of Tsallis' entropy. On the other hand, in the compact support instance, a case by case analysis is necessary in order to tackle the issue.