Birth and death processes as projections of higher-dimensional Poisson processes

DOI10.2307/1427928zbMath0840.60019OpenAlexW2082151720MaRDI QIDQ4862091

Nancy Lopes Garcia

Publication date: 18 June 1996

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1427928

zbMATH Keywords

birth and death processespoint processesspatial ergodicity

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (9)

Approximations of large population epidemic models ⋮ Mutual service processes in Euclidean spaces: existence and ergodicity ⋮ Markov evolutions and hierarchical equations in the continuum. II: Multicomponent systems ⋮ Spatial birth-and-death processes with a finite number of particles ⋮ A shape theorem for a one-dimensional growing particle system with a bounded number of occupants per site ⋮ Statistical dynamics of continuous systems: perturbative and approximative approaches ⋮ Reversible Markov processes on general spaces and spatial migration processes ⋮ Semigroup approach to birth-and-death stochastic dynamics in continuum ⋮ Fecundity regulation in a spatial birth-and-death process

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