Branching processes in random environment which extinct at a given moment
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Publication:3589575
zbMath1204.60086arXiv1001.2413MaRDI QIDQ3589575
Elena E. Dyakonova, Christian Böinghoff, Vladimir A. Vatutin, Götz-Dietrich Kersting
Publication date: 20 September 2010
Full work available at URL: https://arxiv.org/abs/1001.2413
branching processesrandom environmentfunctional limit theoremrandom walksurvival probabilitychange of measure
Sums of independent random variables; random walks (60G50) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)
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On the concept of subcriticality and criticality and a ratio theorem for a branching process in a random environment ⋮ Multitype Branching Processes in Random Environment: Probability of Survival for the Critical Case ⋮ Evolution of branching processes in a random environment ⋮ Moments, moderate and large deviations for a branching process in a random environment ⋮ Branching processes in a Lévy random environment ⋮ Asymptotic properties of supercritical branching processes in random environments ⋮ Path to survival for the critical branching processes in a random environment ⋮ Extinction and coming down from infinity of continuous-state branching processes with competition in a Lévy environment ⋮ Asymptotic behaviour of exponential functionals of L\'evy processes with applications to random processes in random environment ⋮ Extinction rate of continuous state branching processes in critical Lévy environments
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