The lineage process in Galton–Watson trees and globally centered discrete snakes
The lineage process in Galton–Watson trees and globally centered discrete snakes
We consider branching random walks built on Galton–Watson trees with offspring distribution having a bounded support, conditioned to have n nodes, and their rescaled convergences to the Brownian snake. We exhibit a notion of “globally centered discrete snake” that extends the usual settings in which the displacements are supposed centered. …