Limit laws for embedded trees: Applications to the integrated superBrownian excursion

DOI10.1002/rsa.20136zbMath1107.60302arXivmath/0501266OpenAlexW2949076455WikidataQ115150372 ScholiaQ115150372MaRDI QIDQ3419605

Mireille Bousquet-Mélou

Publication date: 7 February 2007

Published in: Random Structures and Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501266

zbMATH Keywords

generating functions

Mathematics Subject Classification ID

Trees (05C05) Exact enumeration problems, generating functions (05A15) Combinatorial probability (60C05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (12)

The density of the ISE and local limit laws for embedded trees ⋮ The left-right-imbalance of binary search trees ⋮ The Markov property of local times of Brownian motion indexed by the Brownian tree ⋮ On the two-point function of general planar maps and hypermaps ⋮ Left and right length of paths in binary trees or on a question of Knuth ⋮ Random real trees ⋮ Confluence of geodesic paths and separating loops in large planar quadrangulations ⋮ The lineage process in Galton-Watson trees and globally centered discrete snakes ⋮ Embedded trees and the support of the ISE ⋮ Distances between pairs of vertices and vertical profile in conditioned Galton–Watson trees ⋮ On \(q\)-functional equations and excursion moments ⋮ Imbalance in random digital trees

Cites Work

• Computation of moments for the length of the one dimensional {ISE} support
• The center of mass of the ISE and the Wiener index of trees
• Planar Maps are Well Labeled Trees
• Lattice trees and super-Brownian motion
• A Census of Planar Maps
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