科研之友
微信
新浪微博
Facebook
分享链接
摘要
We introduce a oneparametric family of tree growth models, in which branching probabilities decrease with branch age tau as tau(-alpha). Depending on the exponent alpha, 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 (alpha = 1) tree depth grows as (log n)(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.
- 出版日期2015-2-2
