@article{uoadl:3065162, volume = "381", number = "1-2", pages = "155-163", journal = "Physica A: Statistical Mechanics and its Applications", issn = "0378-4371", keywords = "Gaussian distribution; Mathematical models; Parametric devices; Thermodynamic stability, Entropy distribution; Entropy maximizer; Lambert W-function; Lesche stability, Entropy", BIBTEX_ENTRY = "article", year = "2007", author = "Oikonomou, Th.", abstract = "The present work investigates the Lesche stability (experimental robustness), the thermodynamic stability, the Legendre structure of thermodynamics, and derives the maximum entropy distribution of the one-parametric "non-extensive Gaussian" entropy. We show that this entropy definition fulfills both stability conditions for all values of its parameter (q ∈ R). The entropy maximizer contains the Lambert W-function, which allows the preservation of the Legendre transformations. © 2007 Elsevier B.V. All rights reserved.", title = "Properties of the "non-extensive Gaussian" entropy", doi = "10.1016/J.PHYSA.2007.03.010" }