%0 Journal Article %T Note on the weighted internal path length of b-ary trees %A Ludger R¨ıschendorf %A Eva-Maria Schopp %J Discrete Mathematics & Theoretical Computer Science %D 2007 %I Discrete Mathematics & Theoretical Computer Science %X In 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 R¨ıschendorf (2004) to recursive sequences of random variables with continuous time parameter. %U http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/556