Formulation and asymptotic properties of the bifurcation ratio in Horton's law for the equiprobable binary tree model

Ken Yamamoto, Yoshihiro Yamazaki

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The bifurcation ratio for the equiprobable binary tree model is formulated. We obtain the exact expression of the kth moment of the second-order streams. We also obtain a recursive equation between rth and (r+1) th order streams. Horton's law is confirmed numerically by calculating this recursive equation and asymptotic properties of the bifurcation ratio are discussed.

Original languageEnglish
Article number021114
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume78
Issue number2
DOIs
Publication statusPublished - 2008 Aug 14

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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