info:eu-repo/semantics/report
Law of Large Numbers for the Occupation Time of an Age-Dependent Branching System
Autor
JOSE ALFREDO LOPEZ MIMBELA
Institución
Resumen
The occupation time of an age-dependent branching particle system is considered, where the
particles are subject to random migration, random lifetimes and branching. Under the usual
independence assumptions in branching processes, we give a characterization of the occupation
time of such branching system by means of its transition Laplace functional. In the case of
nite variance branching (and large mobility of individuals), a large time limit theorem for the
occupation time process is obtained.
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