Introduces downward conditional monotonicity for MMPP to obtain stochastic domination bounds that determine survival and extinction regimes for contact processes in finite-state random environments via QBD eigenvalue comparison.
J., & Vere-Jones, D
3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Proves convergence of critical multitype Bellman-Harris process with one infinite-mean lifetime to Poisson random measure concentrated on that type under space-lifetime condition ρ > γ/β.
Upper limits on the cosmic abundance of Kardashev Type III radio-broadcasting populations are set at less than one per 10^17 stars using radio source counts and commensal SETI field limits.
citing papers explorer
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Downward conditional monotonicity gives survival and extinction for contact processes in random environments
Introduces downward conditional monotonicity for MMPP to obtain stochastic domination bounds that determine survival and extinction regimes for contact processes in finite-state random environments via QBD eigenvalue comparison.
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Convergence of a Critical Multitype Bellman--Harris Process with One Infinite-Mean Lifetime
Proves convergence of critical multitype Bellman-Harris process with one infinite-mean lifetime to Poisson random measure concentrated on that type under space-lifetime condition ρ > γ/β.