A uniform limit law for the branching measure on a Galton-Watson tree (Q1595338)
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scientific article; zbMATH DE number 1563752
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A uniform limit law for the branching measure on a Galton-Watson tree |
scientific article; zbMATH DE number 1563752 |
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A uniform limit law for the branching measure on a Galton-Watson tree (English)
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4 January 2002
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There are proved a uniform asymptotic law for the branching measure on the boundary of a Galton-Watson tree, which is consistent with certain well-known uniform laws associated with Brownian motions. A certain spectrum formula arising from the uniform law is given. The formula has the same flavor as those in the article by \textit{N.-R. Shieh} and \textit{S. J. Taylor} [Stochastic Processes Appl. 75, No. 2, 249-261 (1998; Zbl 0932.60041)] for Brownian fast points and local times.
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branching measure
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Galton-Watson tree
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Hausdorff dimension
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