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We prove the existence of scaling limits for the projection on the backboneof the random walks on the Incipient Infinite Cluster and the InvasionPercolation Cluster on a regular tree. We treat these projected random walks asrandomly trapped random walks (as defined in [BC\v{C}R15]) and thus describethese scaling limits as spatially subordinated Brownian motions

Backbone scaling limits for random walks on random critical trees