Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees
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Publication:2073179
DOI10.1007/s00440-021-01095-9zbMath1487.60153arXiv2009.08185OpenAlexW3084803869MaRDI QIDQ2073179
Romain Abraham, Jean-François Delmas, Michel Nassif
Publication date: 27 January 2022
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.08185
Trees (05C05) Random graphs (graph-theoretic aspects) (05C80) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)
Related Items (3)
Zooming in at the root of the stable tree ⋮ On random trees and forests ⋮ The sum of powers of subtree sizes for conditioned Galton-Watson trees
Cites Work
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- A note on the Gromov-Hausdorff-Prokhorov distance between (locally) compact metric measure spaces
- Scaling limits of Markov branching trees with applications to Galton-Watson and random unordered trees
- Limiting distributions for additive functionals on Catalan trees
- The continuum random tree. I
- Random trees and applications
- Branching processes in Lévy processes: Laplace functionals of snakes and superprocesses
- The standard additive coalescent
- A limit theorem for the contour process of conditioned Galton-Watson trees
- The scaling limit of the minimum spanning tree of the complete graph
- Scaling limits for some random trees constructed inhomogeneously
- Probabilistic and fractal aspects of Lévy trees
- Poisson snake and fragmentation
- Sub-Gaussian tail bounds for the width and height of conditioned Galton-Watson trees
- Cost functionals for large (uniform and simply generated) random trees
- A central limit theorem for almost local additive tree functionals
- Decomposition of Lévy trees along their diameter
- Sub-exponential tail bounds for conditioned stable Bienaymé-Galton-Watson trees
- The continuum random tree. III
- Scaling limits of random Pólya trees
- The forest associated with the record process on a Lévy tree
- Probability and real trees. Ecole d'Eté de Probabilités de Saint-Flour XXXV -- 2005. Lecture given at the Saint-Flour probability summer school, July 6--23, 2005.
- Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions
- Asymptotic normality of fringe subtrees and additive functionals in conditioned Galton-Watson trees
- A Simple Proof of Duquesne’s Theorem on Contour Processes of Conditioned Galton–Watson Trees
- Problems related to graph indices in trees
- Random Measures, Theory and Applications
- Finiteness of integrals of functions of Lévy processes
- Dislocation measure of the fragmentation of a general Lévy tree
- Central Limit Theorems for Additive Tree Parameters with Small Toll Functions
- A note on the Borel-Cantelli lemma
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