32 citations · 194 across the 33 of their papers we have counts for
Showing math.FAShow all
3 papers · 1 filter
math.FA2013★ 16 cited
A geometric study of Wasserstein spaces: ultrametrics
Benoît Kloeckner
We study the geometry of the space of measures of a compact ultrametric space X, endowed with the L^p Wasserstein distance from optimal transportation. We show that the power p of…
math.FA2013
Yet another short proof of Bourgain's distorsion estimate
Benoît Kloeckner
We use a self-improvement argument to give a very short and elementary proof of the result of Bourgain saying that regular trees do not admit bi-Lipschitz embeddings into uniformly…
math.FA2009★ 1 cited
Sharp quantitative isoperimetric inequalities in the Minkowski plane
Benoit Kloeckner
We prove that a plane domain which is almost isoperimetric (with respect to the metric) is close to a square whose sides are parallel to the coordinates axis. Closeness is me…