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Título: | Anomalous scaling in an age-dependent branching model |
Autor: | Keller-Schmidt, Stephanie; Tugrul, Murat CSIC; Eguíluz, Víctor M. CSIC ORCID ; Hernández-García, Emilio CSIC ORCID ; Klemm, Konstantin CSIC ORCID | Fecha de publicación: | 2-feb-2015 | Editor: | American Physical Society | Citación: | Physical Review E 91(2): 022803 (2015) | Resumen: | © 2015 American Physical Society. We introduce a one-parametric family of tree growth models, in which branching probabilities decrease with branch age τ as τ-α. Depending on the exponent α, the scaling of tree depth with tree size n displays a transition between the logarithmic scaling of random trees and an algebraic growth. At the transition (α=1) tree depth grows as (logn)2. This anomalous scaling is in good agreement with the trend observed in evolution of biological species, thus providing a theoretical support for age-dependent speciation and associating it to the occurrence of a critical point. | Versión del editor: | http://dx.doi.org/10.1103/PhysRevE.91.022803 | URI: | http://hdl.handle.net/10261/132850 | DOI: | 10.1103/PhysRevE.91.022803 | Identificadores: | issn: 1550-2376 e-issn: 1550-2376 |
Aparece en las colecciones: | (IFISC) Artículos |
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branching_model_Keller.pdf | 249,26 kB | Adobe PDF | Visualizar/Abrir |
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