Normalisation d'un processus de branchement critique dans un environnement aléatoire. (Normalization of a critical branching process in a random environment)
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Publication:1420143
DOI10.1016/j.crma.2003.08.011zbMath1031.60087OpenAlexW2063257228MaRDI QIDQ1420143
Yves Guivarc'h, Emile Le Page, Quan-sheng Liu
Publication date: 28 January 2004
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2003.08.011
Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (3)
Effective branching splitting method under cost constraint ⋮ The survival probability of a critical branching process in a Markovian random environment ⋮ The survival probability of a critical multi-type branching process in i.i.d. random environment
Cites Work
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- The random difference equation \(X_ n = A_ n X_{n-1} + B_ n\) in the critical case
- A local limit theorem on the semi-direct product of \(\mathbb{R}^{*+}\) and \(\mathbb{R}^ d\)
- Limit theorems for subcritical branching processes in random environment.
- Propriétés asymptotiques des processus de branchement en environnement aléatoire
- On the extinction times of varying and random environment branching processes
- The Survival Probability of a Critical Branching Process in a Random Environment
- On Branching Processes in Random Environments
- On Branching Processes with Random Environments: I: Extinction Probabilities
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