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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.
Cited literature [40 references]
https://hal.inria.fr/hal-00959015
Contributor : Service Ist Inria Sophia Antipolis-Méditerranée / I3s <>
Submitted on : Thursday, March 13, 2014 - 5:06:19 PM
Last modification on : Wednesday, November 29, 2017 - 10:26:21 AM
Long-term archiving on: : Friday, June 13, 2014 - 12:12:32 PM
Contributor : Service Ist Inria Sophia Antipolis-Méditerranée / I3s <>
Submitted on : Thursday, March 13, 2014 - 5:06:19 PM
Last modification on : Wednesday, November 29, 2017 - 10:26:21 AM
Long-term archiving on: : Friday, June 13, 2014 - 12:12:32 PM
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dm060213.pdf
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