A. Valette

activity

20042026

most citedIsometric group actions on Hilbert spaces: growth of cocycles

81 citations · 182 across the 25 of their papers we have counts for

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3 papers · 1 filter

math.MG2021

Wasserstein distance and metric trees

Maxime Mathey-Prevot, Alain Valette

We study the Wasserstein (or earthmover) metric on the space $P (X)$ of probability measures on a metric space $X$ . We show that, if a finite metric space $X$ embeds stochastically…

math.MG2011★ 6 cited

$ℓ^{p}$ -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…

math.MG2007★ 4 cited

The Euclidean distortion of the lamplighter group

Tim Austin, Assaf Naor, Alain Valette

We show that the cyclic lamplighter group $C_2 \bwr C_n$ embeds into Hilbert space with distortion $O (lo g n)$ . This matches the lower bound proved by Lee, Naor and Pe…

Wasserstein distance and metric trees

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

The Euclidean distortion of the lamplighter group

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