Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The H\"older continuity of the scaling limit of three-dimensional
  loop-erased random walk   Let $\beta$ be the growth exponent of the loop-erased random walk (LERW) in
three dimensions. We prove that the scaling limit of 3D LERW is $h$-H\"older
continuous almost surely for all $h < 1/\beta$, while not $1/\beta$-H\"older
continuous almost surely.

18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph