A. Gournay

activity

20072022

most citedA remark on the connectedness of spheres in Cayley graphs

9 citations · 65 across the 21 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.GR2015★ 9 cited

Harmonic functions with finite $p$ -energy on lamplighter graphs are constant

Antoine Gournay

The aim of this note is to show that lamplighter graphs where the space graph is infinite and at most two-ended and the lamp graph is at most two-ended do not admit harmonic functi…

math.GR2015★ 7 cited

Functions conditionally of negative type on groups acting on regular trees

Antoine Gournay, Pierre-Nicolas Jolissaint

Let $T_{q + 1}$ be the $(q + 1)$ -regular tree and let $G$ be a group of automorphisms acting transitively on the vertices and on the boundary of $T_{q + 1}$ . We give…

Harmonic functions with finite p-energy on lamplighter graphs are constant

Functions conditionally of negative type on groups acting on regular trees

Harmonic functions with finite $p$ -energy on lamplighter graphs are constant