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We consider a random walk on a Galton-Watson tree in random environment, inthe subdiffusive case. We prove the convergence of the renormalised heightfunction of the walk towards the continuous-time height process of a spectrallypositive strictly stable L\'evy process, jointly with the convergence of therenormalised range of the walk towards the real tree coded by the lattercontinuous-time height process.

Scaling limit of the subdiffusive random walk on a Galton-Watson tree in random environment