1 citations · 1 across the 8 of their papers we have counts for
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An existence theorem for sliding minimal sets
Guy David, Camille Labourie
We prove an existence theorem for the sliding boundary variant of the Plateau problem for -dimensional sets in . The simplest case of sufficient condition is when…
Coarse and pointwise tangent fields
Guy C. David, Sylvester Eriksson-Bique, Raanan Schul
Alberti, Csörnyei and Preiss introduced a notion of a "pointwise (weak) tangent field" for a subset of Euclidean space -- a field that contains almost every tangent line of every c…
Factorization and piecewise affine approximation of bi-Lipschitz mappings on large sets
Guy C. David, Matthew Romney, Raanan Schul
A well-known open problem asks whether every bi-Lipschitz homeomorphism of factors as a composition of mappings of small distortion. We show that every bi-Lipschitz…
Quantitative metric density and connectivity for sets of positive measure
Guy C. David, Brandon Oliva
We show that in doubling, geodesic metric measure spaces (including, for example, Euclidean space), sets of positive measure have a certain large-scale metric density property. As…