Discrete Mathematics & Theoretical Computer Science
Volume 6 n° 2 (2004), pp. 387-400
| 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. |
| ps.gz-source: | dm060213.ps.gz (57 K) |
| ps-source: | dm060213.ps (147 K) |
| pdf-source: | dm060213.pdf (120 K) |
The first source gives you the `gzipped' PostScript, the second the plain PostScript and the third the format for the Adobe accrobat reader. Depending on the installation of your web browser, at least one of these should (after some amount of time) pop up a window for you that shows the full article. If this is not the case, you should contact your system administrator to install your browser correctly.
Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.
Automatically produced on Mo Sep 13 15:40:03 CEST 2004 by gustedt