Rerooting Multi-type Branching Trees: The Infinite Spine Case

We prove local convergence results of rerooted conditioned multi-type Galton-Watson trees. The limit objects are multitype variants of the random sin-tree constructed by Aldous (1991), and differ according to which types recur infinitely often along the backwards growing spine. We apply our results to prove quenched local convergence of conditioned Boltzmann planar maps, sharpening a local convergence theorem by Stephenson~(2018).

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