Maximum entropy principle for Kaniadakis statistics and networks

Moreira, Darlan Araújo; Macedo Filho, Antônio de; Silva Junior, Raimundo; Silva, Luciano Rodrigues da

Maximum entropy principle for Kaniadakis statistics and networks

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dc.contributor.author	Moreira, Darlan Araújo
dc.contributor.author	Macedo Filho, Antônio de
dc.contributor.author	Silva Junior, Raimundo
dc.contributor.author	Silva, Luciano Rodrigues da
dc.date.accessioned	2020-11-23T21:20:26Z
dc.date.available	2020-11-23T21:20:26Z
dc.date.issued	2013-05-03
dc.description.resumo	In this Letter we investigate a connection between Kaniadakis power-law statistics and networks. By following the maximum entropy principle, we maximize the Kaniadakis entropy and derive the optimal degree distribution of complex networks. We show that the degree distribution follows P(k) =P0 expκ (−k/ηκ ) with expκ (x) = (√1 + κ2x2 + κx)1/κ , and \|κ\| < 1. In order to check our approach we study a preferential attachment growth model introduced by Soares et al. [Europhys. Lett. 70 (2005) 70] and a growing random network (GRN) model investigated by Krapivsky et al. [Phys. Rev. Lett. 85 (2000) 4629]. Our results are compared with the ones calculated through the Tsallis statistics	pt_BR
dc.identifier.citation	MACEDO FILHO, A.; MOREIRA, D.A.; SILVA, R.; SILVA, Luciano R. da. Maximum entropy principle for Kaniadakis statistics and networks. Physics Letters A, [S.L.], v. 377, n. 12, p. 842-846, maio 2013. Disponível em: https://www.sciencedirect.com/science/article/pii/S0375960113000984?via%3Dihub. Acesso em: 08 set. 2020. http://dx.doi.org/10.1016/j.physleta.2013.01.032.	pt_BR
dc.identifier.doi	10.1016/j.physleta.2013.01.032
dc.identifier.issn	0375-9601
dc.identifier.uri	https://repositorio.ufrn.br/handle/123456789/30641
dc.language	en	pt_BR
dc.publisher	Elsevier	pt_BR
dc.rights	Attribution 3.0 Brazil	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/br/	*
dc.subject	Generalized statistics	pt_BR
dc.subject	Degree distribution	pt_BR
dc.subject	Networks	pt_BR
dc.title	Maximum entropy principle for Kaniadakis statistics and networks	pt_BR
dc.type	article	pt_BR