Propriétés asymptotiques des processus de branchement en environnement aléatoire
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Publication:2711894
DOI10.1016/S0764-4442(00)01783-3zbMath0988.60080MaRDI QIDQ2711894
Yves Guivarc'h, Quan-sheng Liu
Publication date: 16 July 2001
Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)
Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (41)
Convergence in \(L^p\) for a supercritical multi-type branching process in a random environment ⋮ Critical branching processes in a random environment with immigration: the size of the only surviving family ⋮ Asymptotic properties of a supercritical branching process with immigration in a random environment ⋮ Subcritical Branching Processes in Random Environment ⋮ Asymptotic properties of a branching random walk with a random environment in time ⋮ Limit theorems for critical branching processes in a finite-state-space Markovian environment ⋮ Multitype branching processes in random environment ⋮ Precise large deviation estimates for branching process in random environment ⋮ Convergence of martingale and moderate deviations for a branching random walk with a random environment in time ⋮ Asymptotic results for exponential functionals of Lévy processes ⋮ Small positive values for supercritical branching processes in random environment ⋮ Asymptotics for exponential functionals of random walks ⋮ A.S. convergence rate and \(L^p\)-convergence of bisexual branching processes in a random environment and varying environment ⋮ A Kesten-Stigum type theorem for a supercritical multitype branching process in a random environment ⋮ Central limit theorems for a supercritical branching process in a random environment ⋮ Subcritical branching processes in a random environment without the Cramer condition ⋮ Normalisation d'un processus de branchement critique dans un environnement aléatoire. (Normalization of a critical branching process in a random environment) ⋮ Simulations and a conditional limit theorem for intermediately subcritical branching processes in random environment ⋮ Weighted moments of the limit of a branching process in a random environment ⋮ Evolution of branching processes in a random environment ⋮ Conditional limit theorems for intermediately subcritical branching processes in random environment ⋮ Proliferating parasites in dividing cells: Kimmel's branching model revisited ⋮ Harmonic moments and large deviations for a supercritical branching process in a random environment ⋮ Moments, moderate and large deviations for a branching process in a random environment ⋮ Subcritical Branching Processes in Random Environment with Immigration: Survival of a Single Family ⋮ Exit time of a centered random walk from a cone ⋮ Asymptotic results for heavy-tailed Lévy processes and their exponential functionals ⋮ Limit theorems for a supercritical branching process with immigration in a random environment ⋮ The survival probability of critical and subcritical branching processes in finite state space Markovian environment ⋮ Asymptotic properties of supercritical branching processes in random environments ⋮ Branching random walks with random environments in time ⋮ Surviving particles for subcritical branching processes in random environment ⋮ Continuous-state branching processes in Lévy random environments ⋮ The survival probability of a critical multi-type branching process in i.i.d. random environment ⋮ Multi-type subcritical branching processes in a random environment ⋮ Properties of multitype subcritical branching processes in random environment ⋮ Large deviations of branching process in a random environment. II ⋮ Weighted moments for a supercritical branching process in a varying or random environment ⋮ Quenched convergence rates for a supercritical branching process in a random environment ⋮ Berry-Esseen bound for a supercritical branching processes with immigration in a random environment ⋮ Functional limit theorems for strongly subcritical branching processes in random environment
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