P. Jolissaint

activity

20112015

most citedFunctions conditionally of negative type on groups acting on regular trees

7 citations · 7 across the 1 of their papers we have counts for

collaborators

3 papers

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…

math.GR2013

$L^{p}$ compression of some HNN extensions

Pierre-Nicolas Jolissaint, Thibault Pillon

Using recent developments on locally compact groups, we are able to obtain quantitative results on embeddings into Lebesgue spaces for a large class of HNN extensions.

math.MG2011

$ℓ^{p}$ -distortion and $p$ -spectral gap of finite regular graphs

Pierre-Nicolas Jolissaint, Alain Valette

We give a lower bound for the $ℓ^{p}$ -distortion $c_{p} (X)$ of finite graphs $X$ , depending on the first eigenvalue $λ_{1}^{(p)} (X)$ of the $p$ -Laplacian and the maximal displacement…

Functions conditionally of negative type on groups acting on regular trees

Lp compression of some HNN extensions

ℓp-distortion and p-spectral gap of finite regular graphs

$L^{p}$ compression of some HNN extensions

$ℓ^{p}$ -distortion and $p$ -spectral gap of finite regular graphs