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Physically motivated fit to mass surface density profiles observed in galaxies
(IOP Publishing, 2021-11)
Polytropes have gained renewed interest because they account for several seemingly disconnected observational properties of galaxies. Here we study whether polytropes are also able to explain the stellar mass distribution ...
q-Gamow States as continuous linear functionals on analytical test functions
(Elsevier Science, 2016-04)
We define here q-Gamow states corresponding to Tsallis' q-statistics. We compute for them their norm, mean energy value and the q-analogue of the Breit-Wigner distribution (a q-Breit-Wigner).
Naudts-like duality and the extreme Fisher information principle
(American Physical Society, 2000-11)
We show that using Frieden and Soffer’s extreme information principle [Phys. Rev. E 52, 2274 (1995)] with a Fisher measure constructed with escort probabilities [C. Beck and F. Schlögel, Thermodynamics of Chaotic Systems ...
Texture descriptors for robust SAR image segmentation
(Society of Photo-Optical Instrumentation Engineers, 2021-12-29)
SAR (synthetic aperture radar) and PolSAR (polarimetric synthetic aperture radar) images fulfill a fundamental role in Earth observation, due to their advantages over optical images. However, the presence of speckle noise ...
Physical peculiarities of divergences emerging in q-deformed statistics
(Springer, 2016-06)
It was found in [A. Plastino, M.C. Rocca, Europhys. Lett. 104, 60003 (2013)]that classical Tsallis theory exhibits poles in the partition function Ƶ and the mean energy . These occur at a countably set of the q-line. We ...
Dimensionally regularized Boltzmann–Gibbs statistical mechanics and two-body Newton's gravitation
(Elsevier Science, 2018-08)
It is believed that the canonical gravitational partition function Z associated to the classical Boltzmann–Gibbs (BG) distribution [Formula presented] cannot be constructed because the integral needed for building up Z ...
A family of generalized quantum entropies: definition and properties
(Springer, 2016-08)
We present a quantum version of the generalized (h, ϕ) -entropies, introduced by Salicrú et al. for the study of classical probability distributions. We establish their basic properties and show that already known quantum ...
q-Fourier Transform and its Inversion-Problem
(Birkhauser Verlag Ag, 2012-04)
Tsallis' q-Fourier transform is not generally one-to-one. It is shown here that, if we eliminate the requirement that q be fixed, and let it instead "float", a simple extension of the F q definition, this procedure restores ...
Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
(Elsevier Science, 2019-02-01)
In this effort we show that the Legendre reciprocity relations, thermodynamics’ essential formal feature, are respected by general classic entropic functionals, even if they are NOT of trace-form nature, in contrast with ...
From the hypergeometric differential equation to a non-linear Schrödinger one
(Elsevier Science, 2015-10)
We show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation can be transformed into a non-linear ...