Stationary measures for multitype branching processes
Copyright policy )Stationary measures for multitype branching processes
The multitype Galton-Watson process is considered both with and without immigration. Proofs are given for the existence of invariant measures and their uniqueness is examined by functional equation methods. Theorem 2.1 proves the uniqueness, under certain conditions, of solutions of a multidimensional Schröder equation. Regular variation is shown to play a role in the multitype theory.
- College of New Jersey United States
Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.), Strong limit theorems, Branching processes (Galton-Watson, birth-and-death, etc.)
Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.), Strong limit theorems, Branching processes (Galton-Watson, birth-and-death, etc.)
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