Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniformly Distributed Measures have Big Pieces of Lipschitz Graphs
  locally   The study of uniformly distributed measures was crucial in Preiss' proof of
his theorem on rectifiability of measures with positive density. It is known
that the support of a uniformly distributed measure is an analytic variety. In
this paper, we provide quantitative information on the rectifiability of this
variety. Tolsa had already shown that $n$-uniform measures have Big Pieces of
Lipschitz Graphs(BPLG) . Here, we prove that a uniformly distributed measure
has BPLG locally.

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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: funct-an