10 citations · 37 across the 19 of their papers we have counts for
4 papers · 2 filters
Approximation of a Reifenberg-flat set by a smooth surface
Guy David
We show that if is a Reifenberg flat set of dimension at scale , we can find a smooth surface of dimension which is close to at the scale …
Rectifiability of Self-contracted curves in the Euclidean space and applications
Aris Daniilidis, Guy David, Estibalitz Durand-Cartagena +1
It is hereby established that, in Euclidean spaces of finite dimension, bounded self-contracted curves have finite length. This extends the main result of Daniilidis, Ley, and Sabo…
A constructive proof of the Assouad embedding theorem with bounds on the dimension
Guy David, Marie Snipes
We give a constructive proof of a theorem of Naor and Neiman, (to appear, Revista Matematica Iberoamercana), which asserts that if is a doubling metric space, there is an i…
Should we solve Plateau's problem again?
Guy David
After a short description of various classical solutions of Plateau's problem, we discuss other ways to model soap films, and some of the related questions that are left open. A li…