HORTON LAW IN SELF-SIMILAR TREES

DOI10.1142/S0218348X16500171zbMath1351.28014arXiv1511.01558MaRDI QIDQ2830988

Ilya Zaliapin, Yevgeniy V. Kovchegov

Publication date: 1 November 2016

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.01558

zbMATH Keywords

random treesHorton lawTokunaga self-similarity

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (9)

Tokunaga and Horton self-similarity for level set trees of Markov chains ⋮ Tokunaga self-similarity arises naturally from time invariance ⋮ Invariant Galton–Watson trees: metric properties and attraction with respect to generalized dynamical pruning ⋮ Dynamics of drainage under stochastic rainfall in river networks ⋮ Dynamical pruning of rooted trees with applications to 1-D ballistic annihilation ⋮ Random self-similar trees and a hierarchical branching process ⋮ Entropy rates for Horton self-similar trees ⋮ Invariance and attraction properties of Galton-Watson trees ⋮ Random self-similar trees: a mathematical theory of Horton laws

Cites Work

• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• Fractal Trees with Side Branching

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