Beyond Boltzmann–Gibbs–Shannon in physics and elsewhere
C Tsallis - Entropy, 2019 - mdpi.com
The pillars of contemporary theoretical physics are classical mechanics, Maxwell
electromagnetism, relativity, quantum mechanics, and Boltzmann–Gibbs (BG) statistical …
electromagnetism, relativity, quantum mechanics, and Boltzmann–Gibbs (BG) statistical …
On the importance of being flexible: dynamic brain networks and their potential functional significances
In this theoretical review, we begin by discussing brains and minds from a dynamical
systems perspective, and then go on to describe methods for characterizing the flexibility of …
systems perspective, and then go on to describe methods for characterizing the flexibility of …
Extension of Yager's negation of a probability distribution based on Tsallis entropy
J Zhang, R Liu, J Zhang, B Kang - International Journal of …, 2020 - Wiley Online Library
The negation of probability distribution becomes an important topic since some problems
are burdensome to deal with directly. Inspired by Yager's negation of probability distribution …
are burdensome to deal with directly. Inspired by Yager's negation of probability distribution …
Universality of non-extensive Tsallis statistics and time series analysis: Theory and applications
We investigate Tsallis q-statistics for various complex physical systems. In particular, the
Tsallis q-triplet is estimated for space plasmas, atmospheric dynamics, seismicity, and brain …
Tsallis q-triplet is estimated for space plasmas, atmospheric dynamics, seismicity, and brain …
Tsallis non-extensive statistics and solar wind plasma complexity
GP Pavlos, AC Iliopoulos, GN Zastenker… - Physica A: Statistical …, 2015 - Elsevier
This article presents novel results revealing non-equilibrium phase transition processes in
the solar wind plasma during a strong shock event, which took place on 26th September …
the solar wind plasma during a strong shock event, which took place on 26th September …
Tsallis non-extensive statistics, intermittent turbulence, SOC and chaos in the solar plasma. Part two: Solar flares dynamics
In this study which is the continuation of the first part (Pavlos et al. 2012)[1], the nonlinear
analysis of the solar flares index is embedded in the non-extensive statistical theory of …
analysis of the solar flares index is embedded in the non-extensive statistical theory of …
A fractional Fokker-Planck model for anomalous diffusion
J Anderson, E Kim, S Moradi - Physics of Plasmas, 2014 - pubs.aip.org
In this paper, we present a study of anomalous diffusion using a Fokker-Planck description
with fractional velocity derivatives. The distribution functions are found using numerical …
with fractional velocity derivatives. The distribution functions are found using numerical …
Tsallis non-extensive statistics, intermittent turbulence, SOC and chaos in the solar plasma, Part one: Sunspot dynamics
In this study, the non-linear analysis of the sunspot index is embedded in the non-extensive
statistical theory of Tsallis (1988, 2004, 2009)[7, 9, 10]. The q-triplet of Tsallis, as well as the …
statistical theory of Tsallis (1988, 2004, 2009)[7, 9, 10]. The q-triplet of Tsallis, as well as the …
Non-linear Langevin and fractional Fokker–Planck equations for anomalous diffusion by Lévy stable processes
J Anderson, S Moradi, T Rafiq - Entropy, 2018 - mdpi.com
The numerical solutions to a non-linear Fractional Fokker–Planck (FFP) equation are
studied estimating the generalized diffusion coefficients. The aim is to model anomalous …
studied estimating the generalized diffusion coefficients. The aim is to model anomalous …
Measuring complexity, nonextensivity and chaos in the DNA sequence of the Major Histocompatibility Complex
We analyze 4 Mb sequences of the Major Histocompatibility Complex (MHC), which is a
DNA segment on chromosome 6 with high gene density, controlling many immunological …
DNA segment on chromosome 6 with high gene density, controlling many immunological …