Reconciliation between the Tsallis maximum entropy principle and large deviation theory
Abstract
The necessary conditions (NC) that reconcile canonical probability distributions obtained from the q-maximum entropy principle, subjected to both i) the additive duality of generalized statistics and ii) normal averages expectations with the large deviation theory, are derived. The validity of these necessary conditions is established on the basis of a result concerning large deviation properties of conditional measures. The NC for normal averages expectations are advantageous because they avoid the excessively prohibitive conditions obtained by previous studies when employing other forms for defining q-expectations. Numerical examples for an exemplary case are provided.
Cite
@article{arxiv.1303.0444,
title = {Reconciliation between the Tsallis maximum entropy principle and large deviation theory},
author = {R. C. Venkatesan and A. Plastino},
journal= {arXiv preprint arXiv:1303.0444},
year = {2013}
}
Comments
Withdrawn by authors owing to serious deficiencies in the model. Corrections of these deficiencies cannot be ameliorated by submission of a new version of the same article. An entirely reworked submission is presented in arXiv:1303.4211