Large Deviation Theorem for Branches of the Random Binary Tree in the Horton--Strahler Analysis

DOI10.1137/18M1192810zbMath1434.60097arXiv1907.13346OpenAlexW3101035996MaRDI QIDQ5222160

Ken Yamamoto

Publication date: 1 April 2020

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13346

zbMATH Keywords

binary treelarge deviationcentral limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Trees (05C05) Large deviations (60F10)

Related Items (1)

The generalized entropy ergodic theorem for nonhomogeneous bifurcating Markov chains indexed by a binary tree

Cites Work

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• Entropy, large deviations, and statistical mechanics.
• Topological self-similarity on the random binary-tree model
• A note on the Horton-Strahler number for random trees
• A self-similar invariance of critical binary Galton-Watson trees
• Random self-similar trees: a mathematical theory of Horton laws
• Large deviations for Poisson systems of independent random walks
• A Large Deviation Rate and Central Limit Theorem for Horton Ratios
• Central limit theorem for the Horton–Strahler bifurcation ratio of general branch order

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