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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.CA2024
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…