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Statistical Mechanics of planar stellar systems: Solving divergences in self-gravitational systems
(Elsevier Science, 2020-12)
It is believed that the canonical gravitational partition function associated with the twobody interacting Newton’s gravitation cannot be constructed because the concomitant integral is exponentially divergent. We showed ...
Classification of intracavitary electrograms in atrial fibrillation using information and complexity measures
(Elsevier, 2020-03)
Background Classification of complex fractionated atrial electrograms is crucial for the study of atrial fibrillation and the development of treatment strategies, because these electrophysiological phenomena represent a ...
Characterization of time series via Rényi complexity–entropy curves
(Elsevier Science, 2018-05)
One of the most useful tools for distinguishing between chaotic and stochastic time series is the so-called complexity-entropy causality plane. This diagram involves two complexity measures: the Shannon entropy and the ...
Extended q-Gaussian and q-exponential distributions from gamma random variables
(American Physical Society, 2015-05-11)
The family of q-Gaussian and q-exponential probability densities fit thestatistical behavior of diverse complex self-similar non-equilibriumsystems. These distributions, independently of the underlying dynamics, can ...
Classification of normal and pre-ictal EEG signals using permutation entropies and a generalized linear model as a classifier
(Molecular Diversity Preservation International, 2017-02)
In this contribution, a comparison between different permutation entropies as classifiers of electroencephalogram (EEG) records corresponding to normal and pre-ictal states is made. A discrete probability distribution ...
Quantum field theory, Feynman-, Wheeler propagators, dimensional regularization in configuration space and convolution of Lorentz invariant tempered distributions
(IOP Publishing, 2018-11)
The Dimensional Regularization (DR) of Bollini and Giambiagi (BG) can not be defined for all Schwartz Tempered Distributions Explicitly Lorentz Invariant (STDELI) S'L. In this paper we overcome such limitation and show ...
Beyond Landau-Pollak and entropic inequalities: Geometric bounds imposed on uncertainties sums
(American Physical Society, 2015-02-17)
In this paper we propose generalized inequalities to quantify the uncertainty principle. We deal with two observables with finite discrete spectra described by positive operator-valued measures (POVM) and with systems in ...