Authors: Michael Drmota ¹; Bernhard Gittenberger ¹

• 1 Institut für Diskrete Mathematik und Geometrie [Wien]

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.