128 citations · 387 across the 40 of their papers we have counts for
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math.MG2019
Some comments on Laakso graphs and sets of differences
Alexandros Margaris, James C. Robinson
We recall a variation of a construction due to Laakso \cite{LA}, also used by Lang and Plaut \cite{LA} of a doubling metric space that cannot be embedded into any Hilbert space…
math.MG2010
Log-Lipschitz embeddings of homogeneous sets with sharp logarithmic exponents and slicing the unit cube
James C Robinson
If is a subset of a Banach space with homogeneous, then can be embedded into some (with sufficiently large) using a linear map whose inverse is Lipschi…
math.MG2007
Almost bi-Lipschitz embeddings and almost homogeneous sets
Eric J. Olson, James C. Robinson
This paper is concerned with embeddings of homogeneous spaces into Euclidean spaces. We show that any homogeneous metric space can be embedded into a Hilbert space using an almost…