Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, Epiciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Journal articles

The Width of Galton-Watson Trees Conditioned by the Size

Abstract : It is proved that the moments of the width of Galton-Watson trees of size n and with offspring variance σ ^2 are asymptotically given by (σ √n)^pm_p where m_p 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.
Document type :
Journal articles
Complete list of metadata

Cited literature [40 references]  Display  Hide  Download
Contributor : Service Ist Inria Sophia Antipolis-Méditerranée / I3s Connect in order to contact the contributor
Submitted on : Thursday, March 13, 2014 - 5:06:19 PM
Last modification on : Wednesday, October 13, 2021 - 7:58:04 PM
Long-term archiving on: : Friday, June 13, 2014 - 12:12:32 PM


Files produced by the author(s)




Michael Drmota, Bernhard Gittenberger. The Width of Galton-Watson Trees Conditioned by the Size. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2004, Vol. 6 no. 2 (2), pp.387-400. ⟨10.46298/dmtcs.323⟩. ⟨hal-00959015⟩



Record views


Files downloads