Nonextensive triangle equality and other properties of Tsallis relative-entropy minimization
Dukkipati, Ambedkar ; Murty, M. Narasimha ; Bhatnagar, Shalabh
arXiv, 0501025 / Harvested from arXiv
Text on arXiv
Kullback-Leibler relative-entropy has unique properties in cases involving distributions resulting from relative-entropy minimization. Tsallis relative-entropy is a one parameter generalization of Kullback-Leibler relative-entropy in the nonextensive thermostatistics. In this paper, we present the properties of Tsallis relative-entropy minimization and present some differences with the classical case. In the representation of such a minimum relative-entropy distribution, we highlight the use of the q-product, an operator that has been recently introduced to derive the mathematical structure behind the Tsallis statistics. One of our main results is generalization of triangle equality of relative-entropy minimization to the nonextensive case.
Publié le : 2005-01-11
Classification:  Mathematical Physics 
@article{0501025,
     author = {Dukkipati, Ambedkar and Murty, M. Narasimha and Bhatnagar, Shalabh},
     title = {Nonextensive triangle equality and other properties of Tsallis
  relative-entropy minimization},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0501025}
}

Dukkipati, Ambedkar; Murty, M. Narasimha; Bhatnagar, Shalabh. Nonextensive triangle equality and other properties of Tsallis
  relative-entropy minimization. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0501025/