Discrete Mathematics & Theoretical Computer Science
| author: | Drmota, Michael and Gittenberger, Bernhard |
|---|---|
| title: | The Width of Galton-Watson Trees Conditioned by the Size |
| keywords: | branching processes, simply generated tree, generating functions, convergence of moments |
| abstract: | It is proved that the moments of the width of Galton-Watson trees of size n and with offspring variance σ2 are asymptotically
given by (σ√n)pmp where mp are the moments of the maximum of
the local time of a standard scaled Brownian excursion. This is done by
combining a weak limit theorem and a tightness estimate. The method is quite
general and we state some further applications.
If your browser does not display the abstract correctly (because of the different mathematical symbols) you can look it up in the PostScript or PDF files. |
| reference: | Drmota, Michael and Gittenberger, Bernhard (2004), The Width of Galton-Watson Trees Conditioned by the Size, Discrete Mathematics and Theoretical Computer Science 6, pp. 387-400 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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