On the asymptotic joint distribution of height and width in random trees
2008 (English)In: Studia scientiarum mathematicarum Hungarica (Print), ISSN 0081-6906, E-ISSN 1588-2896, Vol. 45, no 4, 451-467 p.Article in journal (Refereed) Published
It has been known for a long time that the height and width of a random labelled rooted tree, or of any other conditioned Galton-Watson tree, after suitable normalizations converge to the same limit distribution. Moreover, Chassaing, Marckert and Yor  have proved joint convergence of height and width. The resulting two-dimensional limit distribution has been studied by Donati-Martin . we extend her results and give new formulas for joint moments. As an example, we calculate the covariance. We also show that the two-dimensional distribution is not symmetric, although the marginals are the same
Place, publisher, year, edition, pages
2008. Vol. 45, no 4, 451-467 p.
Conditioned Galton-Watson trees, random trees, height, width, Brownian excursion
IdentifiersURN: urn:nbn:se:uu:diva-106252DOI: 10.1556/SScMath.2007.1064ISI: 000260856800002OAI: oai:DiVA.org:uu-106252DiVA: diva2:224334