3 papers
math.CA2026
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…
math.MG2025
Characterizing rectifiability via biLipschitz pieces of Lipschitz mappings on the space
Sean Li, Raanan Schul
We give the following characterization of rectifiable metric spaces. A metric space with positive lower Hausdorff density is rectifiable if and only if, for any subset and $f:F…
math.MG2025
Square packings and rectifiable doubling measures
Matthew Badger, Raanan Schul
We prove that for all integers , there exists doubling measures on with full support that are -rectifiable and purely -unrectifiable in th…