On weighted heights of random trees

DOI10.1007/BF01047004zbMath0718.60099OpenAlexW2079331323WikidataQ101246639 ScholiaQ101246639MaRDI QIDQ2639445

Edward C. Waymire, Harry Kesten, Richard T. Durrett

Publication date: 1991

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01047004

zbMATH Keywords

Brownian excursionbranching processrandom treesbranching random walkmaximum of a Brownian excursion

Mathematics Subject Classification ID

Brownian motion (60J65) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (10)

Large deviation principle for the maximal positions in critical branching random walks with small drifts ⋮ Branching random walks with acritical branching part ⋮ Markov snakes and superprocesses ⋮ Some width function asymptotics for weighted trees ⋮ Scaling limit of a limit order book model via the regenerative characterization of Lévy trees ⋮ Critical branching random walks with small drift ⋮ A family of random trees with random edge lengths ⋮ Random self-similar trees: a mathematical theory of Horton laws ⋮ The power laws of \(M\) and \(N\) in greedy lattice animals ⋮ Convergence of discrete snakes

Cites Work

• Moment of degeneration of a branching process and height of a random tree
• The continuum random tree. I
• A conditional local limit theorem for recurrent random walk
• Weak convergence to Brownian meander and Brownian excursion
• Functionals of Brownian meander and Brownian excursion
• Tree-dependent extreme values: the exponential case
• The Galton-Watson process conditioned on the total progeny
• The distribution of the maximum Brownian excursion
• First Passage and Recurrence Distributions
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