Height and contour processes of Crump-Mode-Jagers forests. I: general distribution and scaling limits in the case of short edges
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Publication:1663893
DOI10.1214/18-EJP151zbMath1410.60089arXiv1506.03192OpenAlexW2963754553MaRDI QIDQ1663893
Florian Simatosï, Emmanuel Schertzer
Publication date: 24 August 2018
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.03192
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Cites Work
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- Lévy processes conditioned on having a large height process
- Scaling limits via excursion theory: interplay between Crump-Mode-Jagers branching processes and processor-sharing queues
- Splitting trees with neutral mutations at birth
- The continuum random tree. I
- Limiting behavior of general branching processes
- Branching processes in Lévy processes: The exploration process
- The uniform random tree in a Brownian excursion
- Measure-branching renewal processes
- The depth first processes of Galton-Watson trees converge to the same Brownian excursion
- A random walk approach to Galton-Watson trees
- Poisson snake and fragmentation
- A key limit theorem for critical branching processes
- The contour of splitting trees is a Lévy process
- Asymptotic behavior of local times of compound Poisson processes with drift in the infinite variance case
- The continuum random tree. III
- Time reversal dualities for some random forests
- Asymptotic behaviour of continuous time, continuous state-space branching processes
- Conditional limit theorems for general branching processes
- Spatial Branching Processes and Subordination
- The stable doubly infinite pedigree process of supercritical branching populations
- A Multidimensional Critical Branching Process Generated by a Large Number of Particles of One Type
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