Invariance principle for fragmentation processes derived from conditioned stable Galton-Watson trees
From MaRDI portal
Publication:6635712
DOI10.3150/22-bej1559MaRDI QIDQ6635712
Cecilia Holmgren, Gabriel Berzunza Ojeda
Publication date: 12 November 2024
Published in: Bernoulli (Search for Journal in Brave)
fragmentationPrim's algorithmGalton-Watson treesadditive coalescentstable Lévy treespectrally positive stable Lévy processes
Processes with independent increments; Lévy processes (60G51) Continuous-time Markov processes on general state spaces (60J25) Combinatorial probability (60C05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new encoding of coalescent processes: applications to the additive and multiplicative cases
- 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
- Random trees and applications
- Arbres et processus de Galton-Watson. (Trees and Galton-Watson processes)
- Size-biased sampling of Poisson point processes and excursions
- A relation between Brownian bridge and Brownian excursion
- Coalescent random forests
- The standard additive coalescent
- Brownian excursions, critical random graphs and the multiplicative coalescent
- The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
- Normalized excursion, meander and bridge for stable Lévy processes
- Construction of Markovian coalescents
- A limit theorem for the contour process of conditioned Galton-Watson trees
- A fragmentation process connected to Brownian motion
- Self-similar fragmentations
- Probabilistic and fractal aspects of Lévy trees
- Self-similar fragmentations derived from the stable tree. II: Splitting at nodes
- Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent
- Poisson snake and fragmentation
- Eternal additive coalescents and certain bridges with exchangeable increments
- A Vervaat-like path transformation for the reflected Brownian bridge conditioned on its local time at 0
- A geometric representation of fragmentation processes on stable trees
- The continuum random tree. III
- Almost Giant Clusters for Percolation on Large Trees with Logarithmic Heights
- Phase transition for Parking blocks, Brownian excursion and coalescence
- The Representation of Partition Structures
- Tessellations of random maps of arbitrary genus
- A new combinatorial representation of the additive coalescent
- Random Fragmentation and Coagulation Processes
- Asymptotics in Knuth's parking problem for caravans
- The Multiplicative Process
- Ordered additive coalescent and fragmentations associated to Lévy processes with no positive jumps
This page was built for publication: Invariance principle for fragmentation processes derived from conditioned stable Galton-Watson trees