10 citations · 37 across the 19 of their papers we have counts for
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math.MG2014★ 1 cited
Wasserstein Distance and the Rectifiability of Doubling Measures: Part II
Jonas Azzam, Guy David, Tatiana Toro
We study the structure of the support of a doubling measure by analyzing its self-similarity properties, which we estimate using a variant of the Wasserstein distance. We sho…
math.CA2014
Wasserstein Distance and the Rectifiability of Doubling Measures: Part I
Jonas Azzam, Guy David, Tatiana Toro
Let be a doubling measure in . We investigate quantitative relations between the rectifiability of and its distance to flat measures. More precisely, for …
math.CA2014★ 10 cited
Local regularity properties of almost- and quasiminimal sets with a sliding boundary condition
Guy David
We study the boundary regularity of almost minimal and quasiminimal sets that satisfy sliding boundary conditions. The competitors of a set are defined as , where $…