The lineage process in Galton-Watson trees and globally centered discrete snakes

DOI10.1214/07-AAP450zbMath1140.60042arXiv0801.3330OpenAlexW2031694047MaRDI QIDQ2476404

Jean-François Marckert

Publication date: 19 March 2008

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3330

zbMATH Keywords

limit theoremBrownian snakeGalton-Watson treesdiscrete snake

Mathematics Subject Classification ID

Brownian motion (60J65) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (3)

Scaling limits of discrete snakes with stable branching ⋮ Melons are branched polymers ⋮ Convergence of non-bipartite maps via symmetrization of labeled trees

Cites Work

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• The density of the ISE and local limit laws for embedded trees
• Left and right pathlengths in random binary trees
• Arbres et processus de Galton-Watson. (Trees and Galton-Watson processes)
• A limit theorem for the contour process of conditioned Galton-Watson trees
• Random planar lattices and integrated superBrownian excursion
• States spaces of the snake and its tour: Convergence of the discrete snake
• A note on ``State spaces of the snake and its tour: convergence of the discrete snake by J.-F. Marckert and A. Mokkadem
• The depth first processes of Galton-Watson trees converge to the same Brownian excursion
• Diophantine approximations and local limit theorem in \(\mathbb R^d\)
• The continuum random tree. III
• Invariance principles for random bipartite planar maps
• A conditional limit theorem for tree-indexed random walk
• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• Tree-based models for random distribution of mass
• Convergence of discrete snakes
• Limit laws for embedded trees: Applications to the integrated superBrownian excursion
• Foundations of Modern Probability
• The rotation correspondence is asymptotically a dilatation
• The Multiplicative Process
• Justification and Extension of Doob's Heuristic Approach to the Kolmogorov- Smirnov Theorems

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