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Phys Rev E Stat Nonlin Soft Matter Phys
; 91(2): 022803, 2015 Feb.
Artículo
en Inglés
| MEDLINE
| ID: mdl-25768548
RESUMEN
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.