TY - JOUR

T1 - Formulation and asymptotic properties of the bifurcation ratio in Horton's law for the equiprobable binary tree model

AU - Yamamoto, Ken

AU - Yamazaki, Yoshihiro

PY - 2008/8/14

Y1 - 2008/8/14

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevE.78.021114

DO - 10.1103/PhysRevE.78.021114

M3 - Article

AN - SCOPUS:50049113854

VL - 78

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 2

M1 - 021114

ER -