10 citations · 37 across the 19 of their papers we have counts for
24 papers
Cantor sets with absolutely continuous harmonic measure
Guy David, Cole Jeznach, Antoine Julia
We construct Ahlfors regular Cantor sets of small dimension in the plane, such that the Hausdorff measure on is equivalent to the harmonic measure associated to its complem…
A non-injective Assouad-type theorem with sharp dimension
Guy C. David
Lipschitz light maps, defined by Cheeger and Kleiner, are a class of non-injective "foldings" between metric spaces that preserve some geometric information. We prove that if a met…
Branch Points for (Almost-)Minimizers of Two-Phase Free Boundary Problems
Guy David, Max Engelstein, Mariana Smit Vega Garcia +1
We study the existence and structure of branch points in two-phase free boundary problems. More precisely, we construct a family of minimizers to an Alt- Caffarelli-Friedman type f…
Quantitative differentiation and the medial axis
Guy C. David, Kevin Hook
We study the medial axis of a set in Euclidean space (the set of points in space with more than one closest point in ) from a "coarse" and "quantitative" perspective. We sho…
Quantitative straightening of distance spheres
Guy C. David, McKenna Kaczanowski, Dallas Pinkerton
We study "distance spheres": the set of points lying at constant distance from a fixed arbitrary subset of . We show that, away from the regions where is "too dens…
Bi-Lipschitz embeddings of quasiconformal trees
Guy C. David, Sylvester Eriksson-Bique, Vyron Vellis
A quasiconformal tree is a doubling metric tree in which the diameter of each arc is bounded above by a fixed multiple of the distance between its endpoints. In this paper we show…