Rerooting multi-type branching trees: the infinite spine case

Abstract

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.

arXiv commentThe paper was split during the review process following a referee's recommendation. The results on Boltzmann planar maps are now a separate paper: [22]