Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Power Law For Buffon's Needle Landing Near the Sierpinski Gasket   In this paper we get a power estimate from above of the probability that
Buffon's needle will land within distance 3^{-n} of Sierpinski's gasket of
Hausdorff dimension 1. In comparison with the case of 1/4 corner Cantor set
considered in Nazarov, Peres, and the second author: we still need the
technique of arXiv:0801.2942 for splitting the directions to good and bad ones,
but the case of Sierpinski gasket is considerably more generic and lacks
symmetry, resulting in a need for much more careful estimates of zeros of the
Fourier transform of Cantor measure.

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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin