https://hal.inria.fr/hal-00966516Rüschendorf, LudgerLudgerRüschendorfDepartment of Mathematical Stochastics [Freiburg] - University of Freiburg [Freiburg]Schopp, Eva-MariaEva-MariaSchoppDepartment of Mathematical Stochastics [Freiburg] - University of Freiburg [Freiburg]Note on the weighted internal path length of b-ary treesHAL CCSD2007[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]Inria Sophia Antipolis-Méditerranée / I3s, Service Ist2014-03-26 16:59:382017-11-29 10:26:182014-03-27 13:47:29enJournal articleshttps://hal.inria.fr/hal-00966516/document10.46298/dmtcs.403application/pdf1In a recent paper Broutin and Devroye (2005) have studied the height of a class of edge-weighted random trees.This is a class of trees growing in continuous time which includes many wellknown trees as examples. In this paper we derive a limit theorem for the internal path length for this class of trees.For the proof we extend a limit theorem in Neininger and Rüschendorf (2004) to recursive sequences of random variables with continuous time parameter.