Discrete Random Walks, DRW'03
Cyril Banderier and Christian Krattenthaler (eds.)
DMTCS Conference Volume AC (2003), pp. 265276
author:  Alois Panholzer 

title:  Noncrossing trees revisited: cutting down and spanning subtrees 
keywords:  Noncrossing trees, generating function, limiting distributions 
abstract: 
Here we consider two parameters for random noncrossing
trees: (i) the number of random cuts to destroy a
size
n
noncrossing tree and (ii) the spanning
subtreesize of
p
randomly chosen nodes in a size
n
noncrossing tree. For both quantities, we are able
to characterise for
n → ∞
the limiting distributions. Noncrossing trees are
almost conditioned GaltonWatson trees, and it has been
already shown, that the contour and other usually
associated discrete excursions converge, suitable
normalised, to the Brownian excursion. We can interpret
parameter (ii) as a functional of a conditioned
random walk, and although we do not have such an
interpretation for parameter (i), we obtain here
limiting distributions, that are also arising as limits of
some functionals of conditioned random walks.

If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files.  
reference:  Alois Panholzer (2003), Noncrossing trees revisited: cutting down and spanning subtrees, in Discrete Random Walks, DRW'03, Cyril Banderier and Christian Krattenthaler (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AC, pp. 265276 
bibtex:  For a corresponding BibTeX entry, please consider our BibTeXfile. 
ps.gzsource:  dmAC0125.ps.gz (76 K) 
pssource:  dmAC0125.ps (324 K) 
pdfsource:  dmAC0125.pdf (156 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 Di Sep 27 10:09:21 CEST 2005 by gustedt