Conditioned Galton-Watson trees: the shape functional, and more on the sum of powers of subtree sizes and its mean

DOI10.1007/S44007-024-00087-0zbMATH Open1545.05038MaRDI QIDQ6564007

Svante Janson, Stephan Wagner, James Allen Fill

Publication date: 28 June 2024

Published in: La Matematica (Search for Journal in Brave)

zbMATH Keywords

Laplace transformpolylogarithmgenerating functionadditive functionalmethod of momentssingularity analysisHadamard product of power seriesconditioned Galton-Watson treeshape functionalsimply generated random treesubtree sizestree recurrence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Trees (05C05) Combinatorial probability (60C05)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Simply generated trees, conditioned Galton-Watson trees, random allocations and condensation
• Limiting distributions for additive functionals on Catalan trees
• Singularity analysis and asymptotics of Bernoulli sums
• Normal convergence problem? Two moments and a recurrence may be the clues
• Singularity analysis, Hadamard products, and tree recurrences
• The number of optimal matchings for Euclidean assignment on the line
• The sum of powers of subtree sizes for conditioned Galton-Watson trees
• Asymptotic normality of fringe subtrees and additive functionals in conditioned Galton-Watson trees
• Random cutting and records in deterministic and random trees
• Gaussian Hilbert Spaces
• On the log-product of the subtree-sizes of random trees
• The Multiplicative Process

This page was built for publication: Conditioned Galton-Watson trees: the shape functional, and more on the sum of powers of subtree sizes and its mean

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6564007)