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A decomposable Galton–Watson branching process with two particle types is studied. It is assumed that the particles of the first type produce equal numbers of particles of the first and… Click to show full abstract
A decomposable Galton–Watson branching process with two particle types is studied. It is assumed that the particles of the first type produce equal numbers of particles of the first and second types, while the particles of the second type produce only particles of their own type. Under the condition that the total number of particles of the second type is greater than N →∞, a functional limit theorem for the process describing the number of particles of the first type in different generations is proved.
Keywords:
two particle;
limit theorem;
functional limit;
particle types
Journal Title: Mathematical Notes
Year Published: 2018
Link to full text (if available)
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Journal Title: Mathematical Notes
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!