Analysis of and on uniformly rectifiable sets

@inproceedings{David1993AnalysisOA,
  title={Analysis of and on uniformly rectifiable sets},
  author={Guy David and S. Semmes},
  year={1993}
}
The notion of uniform rectifiability of sets (in a Euclidean space), which emerged only recently, can be viewed in several different ways. It can be viewed as a quantitative and scale-invariant substitute for the classical notion of rectifiability; as the answer (sometimes only conjecturally) to certain geometric questions in complex and harmonic analysis; as a condition which ensures the parametrizability of a given set, with estimates, but with some holes and self-intersections allowed; and… 
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