In this paper we study the time required for a @math -biased ( @math ) walk to visit all nodes of a supercritical Galton-Watson tree up to generation @math . Inspired by the extremal landscape approach in [ 2018] for simple random walk on binary trees, we establish the near-independent nature of extremal points for the @math -biased walk, and deduce the scaling limit of the cover time.
On donne des bornes superieures et inferieures sur la fonction generatrice des moments du temps pris par une chaine de Markov pour visiter au moins n des N sous-ensembles selectionnes de son espace d'etats