Martingale convergence and the functional equation in the multi-type branching random walk (Q5951610)
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scientific article; zbMATH DE number 1686318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Martingale convergence and the functional equation in the multi-type branching random walk |
scientific article; zbMATH DE number 1686318 |
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Martingale convergence and the functional equation in the multi-type branching random walk (English)
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11 August 2003
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The authors prove a generalization of Biggins's martingale convergence theorem for the multi-type branching random walk by constructing size-biased measures on the space of marked trees generated by the branching process. Existence and uniqueness of solutions for a system of functional equations are then obtained.
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multitype branching random walk
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size-biased measures
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functional equation
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martingale convergence
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