Order-disorder transition in conflicting dynamics leading to rank-frequency generalized beta distributions
Por:
Alvarez-Martinez, R, Martinez-Mekler, G, Cocho, G
Publicada:
1 ene 2011
Resumen:
The behavior of rank-ordered distributions of phenomena present in a variety of fields such as biology, sociology, linguistics, finance and geophysics has been a matter of intense research. Often power laws have been encountered; however, their validity tends to hold mainly for an intermediate range of rank values. In a recent publication (Martinez-Mekler et al., 2009 [7]), a generalization of the functional form of the beta distribution has been shown to give excellent fits for many systems of very diverse nature, valid for the whole range of rank values, regardless of whether or not a power law behavior has been previously suggested. Here we give some insight on the significance of the two free parameters which appear as exponents in the functional form, by looking into discrete probabilistic branching processes with conflicting dynamics. We analyze a variety of realizations of these so-called expansion-modification models first introduced by Wentian Li (1989)[10]. We focus our atten
Filiaciones:
Alvarez-Martinez, R:
Univ Nacl Autonoma Mexico, Inst Fis, Mexico City 01000, DF, Mexico
Univ Nacl Autonoma Mexico, Ctr Ciencias Complejidad, Mexico City 01000, DF, Mexico
Martinez-Mekler, G:
Univ Nacl Autonoma Mexico, Inst Ciencias Fis, Cuernavaca 62251, Morelos, Mexico
Univ Nacl Autonoma Mexico, Ctr Ciencias Complejidad, Mexico City 01000, DF, Mexico
Cocho, G:
Univ Nacl Autonoma Mexico, Inst Fis, Mexico City 01000, DF, Mexico
Univ Nacl Autonoma Mexico, Ctr Ciencias Complejidad, Mexico City 01000, DF, Mexico
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