David Bate

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20112023

most citedStructure of measures in Lipschitz differentiability spaces

65 citations · 169 across the 13 of their papers we have counts for

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math.MG2023

Uniformly rectifiable metric spaces: Lipschitz images, Bi-Lateral Weak Geometric Lemma and Corona Decompositions

David Bate, Matthew Hyde, Raanan Schul

In their 1991 and 1993 foundational monographs, David and Semmes characterized uniform rectifiability for subsets of Euclidean space in a multitude of geometric and analytic ways.…

math.MG2023

Typical Lipschitz images of rectifiable metric spaces

David Bate, Jakub Takáč

This article studies typical 1-Lipschitz images of $n$ -rectifiable metric spaces $E$ into $R^{m}$ for $m \geq n$ . For example, if $E \subset R^{k}$ , we show that the Ja…