Positive harmonic functions on the Heisenberg group II

Yves Benoist (1)

1 LMO - Laboratoire de Mathématiques d'Orsay

We describe the extremal positive harmonic functions for finitely supported measures on the discrete Heisenberg group : they are either harmonic characters or induced of harmonic characters.

Mots clés: Harmonic function; Martin boundary; Random walk; Nilpotent group

Domaines: Probabilités [math.PR]; Théorie des groupes [math.GR]

Yves Benoist. Positive harmonic functions on the Heisenberg group II. 2019. ⟨hal-02400005⟩