Universality of Rank-Ordering Distributions in the Arts and Sciences

Gustavo Martínez-Mekler; Roberto Alvarez Martínez; Manuel Beltrán del Río; Ricardo Mansilla; Pedro Miramontes; Germinal Cocho

doi:10.1371/journal.pone.0004791

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Research Article

Universality of Rank-Ordering Distributions in the Arts and Sciences

Gustavo Martínez-Mekler ,

Contributed equally to this work with: Gustavo Martínez-Mekler, Roberto Alvarez Martínez, Germinal Cocho

* E-mail: mekler@fis.unam.mx

Affiliations Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Cuernavaca, Morelos, México, Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, Distrito Federal, México
⨯
Roberto Alvarez Martínez ,

Contributed equally to this work with: Gustavo Martínez-Mekler, Roberto Alvarez Martínez, Germinal Cocho

Affiliations Instituto de Física, Universidad Nacional Autónoma de México, Distrito Federal, México, Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, Distrito Federal, México
⨯
Manuel Beltrán del Río,

Affiliation Instituto de Física, Universidad Nacional Autónoma de México, Distrito Federal, México
⨯
Ricardo Mansilla,

Affiliation Centro de Investigaciones Interdisciplinarias en Ciencias y Humanidades, Universidad Nacional Autónoma de México, Distrito Federal, México
⨯
Pedro Miramontes,

Affiliation Facultad de Ciencias, Universidad Nacional Autónoma de México, Distrito Federal, México
⨯
Germinal Cocho

Contributed equally to this work with: Gustavo Martínez-Mekler, Roberto Alvarez Martínez, Germinal Cocho

Affiliations Instituto de Física, Universidad Nacional Autónoma de México, Distrito Federal, México, Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, Distrito Federal, México
⨯

Universality of Rank-Ordering Distributions in the Arts and Sciences

Gustavo Martínez-Mekler,
Roberto Alvarez Martínez,
Manuel Beltrán del Río,
Ricardo Mansilla,
Pedro Miramontes,
Germinal Cocho

Published: March 11, 2009
https://doi.org/10.1371/journal.pone.0004791

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Are you describing lognormal distributions?

Posted by markalter on 12 Mar 2009 at 05:50 GMT

The curves you are plotting look like CDFs for lognormal distributions turned on there sides. Lognormal distributions are universal because they arise in the presence of multiplicative interactions.

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Universality of Rank-Ordering Distributions in the Arts and Sciences

Universality of Rank-Ordering Distributions in the Arts and Sciences

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Are you describing lognormal distributions?

Posted by markalter on 12 Mar 2009 at 05:50 GMT