6 papers
No dimension reduction for doubling subsets of when revisited
Florent P. Baudier, Krzysztof Swieçicki, Andrew Swift
We revisit the main results from \cites{BGN_SoCG14,BGN_SIAM15} and \cite{LafforgueNaor14_GD} about the impossibility of dimension reduction for doubling subsets of for $q>…
Coarse and Lipschitz universality
Florent P. Baudier, Gilles Lancien, Pavlos Motakis +1
In this paper we provide several \emph{metric universality} results. We exhibit for certain classes $\cC$ of metric spaces, families of metric spaces which ha…
The geometry of Hamming-type metrics and their embeddings into Banach spaces
Florent P. Baudier, Gilles Lancien, Pavlos Motakis +1
Within the class of reflexive Banach spaces, we prove a metric characterization of the class of asymptotic- spaces in terms of a bi-Lipschitz invariant which involves metrics…
Stochastic approximation of lamplighter metrics
Florent P. Baudier, Pavlos Motakis, Thomas Schlumprecht +1
We observe that embeddings into random metrics can be fruitfully used to study the -embeddability of lamplighter graphs or groups, and more generally lamplighter metric spaces…
On the bi-Lipschitz geometry of lamplighter graphs
Florent P. Baudier, Pavlos Motakis, Thomas Schlumprecht +1
In this article we start a systematic study of the bi-Lipschitz geometry of lamplighter graphs. We prove that lamplighter graphs over trees bi-Lipschitzly embed into Hamming cubes…
A new coarsely rigid class of Banach spaces
Florent Baudier, Gilles Lancien, Pavlos Motakis +1
We prove that the class of reflexive asymptotic- Banach spaces is coarsely rigid, meaning that if a Banach space coarsely embeds into a reflexive asymptotic- space $Y…