Ends of branching random walks on planar hyperbolic Cayley graphs

Lorenz A. Gilch (1) , Sebastian Mueller (2)

1 Departement of Mathematical Structure Theory
2 I2M - Institut de Mathématiques de Marseille

We prove that the trace of a transient branching random walk on a planar hyperbolic Cayley graph has a.s. continuum many ends and no isolated end.

Mots clés: branching random walks; hyperbolic groups

Domaines: Probabilités [math.PR]

Lorenz A. Gilch, Sebastian Mueller. Ends of branching random walks on planar hyperbolic Cayley graphs. Groups, Graphs and Random Walks, 2017. ⟨hal-01062901⟩