Emergency of Tsallis statistics in fractal networks.

Emergency of Tsallis statistics in fractal networks.

Scale-free networks constitute a fast-developing field that has already provided us with important tools to understand natural and social phenomena. From biological systems to environmental modifications, from quantum fields to high energy collisions, or from the number of contacts one person has, o...

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Autores principales: Airton Deppman, Evandro Oliveira Andrade-Ii
Formato: article
Lenguaje:EN
Publicado: Public Library of Science (PLoS) 2021
Materias:
Medicine
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Science
Q
Acceso en línea:https://doaj.org/article/ecc39b10518541cb95da10de6ab947cc
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spelling oai:doaj.org-article:ecc39b10518541cb95da10de6ab947cc2021-12-02T20:14:03ZEmergency of Tsallis statistics in fractal networks.1932-620310.1371/journal.pone.0257855https://doaj.org/article/ecc39b10518541cb95da10de6ab947cc2021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0257855https://doaj.org/toc/1932-6203Scale-free networks constitute a fast-developing field that has already provided us with important tools to understand natural and social phenomena. From biological systems to environmental modifications, from quantum fields to high energy collisions, or from the number of contacts one person has, on average, to the flux of vehicles in the streets of urban centres, all these complex, non-linear problems are better understood under the light of the scale-free network's properties. A few mechanisms have been found to explain the emergence of scale invariance in complex networks, and here we discuss a mechanism based on the way information is locally spread among agents in a scale-free network. We show that the correct description of the information dynamics is given in terms of the q-exponential function, with the power-law behaviour arising in the asymptotic limit. This result shows that the best statistical approach to the information dynamics is given by Tsallis Statistics. We discuss the main properties of the information spreading process in the network and analyse the role and behaviour of some of the parameters as the number of agents increases. The different mechanisms for optimization of the information spread are discussed.Airton DeppmanEvandro Oliveira Andrade-IiPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 9, p e0257855 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Airton Deppman
Evandro Oliveira Andrade-Ii
Emergency of Tsallis statistics in fractal networks.
description Scale-free networks constitute a fast-developing field that has already provided us with important tools to understand natural and social phenomena. From biological systems to environmental modifications, from quantum fields to high energy collisions, or from the number of contacts one person has, on average, to the flux of vehicles in the streets of urban centres, all these complex, non-linear problems are better understood under the light of the scale-free network's properties. A few mechanisms have been found to explain the emergence of scale invariance in complex networks, and here we discuss a mechanism based on the way information is locally spread among agents in a scale-free network. We show that the correct description of the information dynamics is given in terms of the q-exponential function, with the power-law behaviour arising in the asymptotic limit. This result shows that the best statistical approach to the information dynamics is given by Tsallis Statistics. We discuss the main properties of the information spreading process in the network and analyse the role and behaviour of some of the parameters as the number of agents increases. The different mechanisms for optimization of the information spread are discussed.
format article
author Airton Deppman
Evandro Oliveira Andrade-Ii
author_facet Airton Deppman
Evandro Oliveira Andrade-Ii
author_sort Airton Deppman
title Emergency of Tsallis statistics in fractal networks.
title_short Emergency of Tsallis statistics in fractal networks.
title_full Emergency of Tsallis statistics in fractal networks.
title_fullStr Emergency of Tsallis statistics in fractal networks.
title_full_unstemmed Emergency of Tsallis statistics in fractal networks.
title_sort emergency of tsallis statistics in fractal networks.
publisher Public Library of Science (PLoS)
publishDate 2021
url https://doaj.org/article/ecc39b10518541cb95da10de6ab947cc
work_keys_str_mv AT airtondeppman emergencyoftsallisstatisticsinfractalnetworks
AT evandrooliveiraandradeii emergencyoftsallisstatisticsinfractalnetworks
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