On Branching Processes with Random Environments: I: Extinction Probabilities

1971/10/01 by Krishna B. Athreya, Samuel Karlin · 17 citations
Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.1214/aoms/1177693150

Citations

• On Branching Processes in Random Environments

Cited by

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• Survival of branching processes in random environments
• Asymptotic of the distribution and harmonic moments for a supercritical branching process in a random environment
• On the survival of a class of subcritical branching processes in random environment
• Multitype branching processes with immigration in random environment and\n polling systems
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• Polling systems and multitype branching processes in random environment counted by random characteristics
• New approaches of source-sink metapopulations decoupling the roles of demography and dispersal
• Weak law of large numbers for some Markov chains along non homogeneous genealogies
• Branching within branching II: Limit theorems
• Second and third orders asymptotic expansions for the distribution of particles in a branching random walk with a random environment in time
• Reduced critical branching processes in non-favorable random environment
• The critical domain size of stochastic population models. [europepmc]
• Threshold fertility for the avoidance of extinction under critical conditions. [europepmc]