Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A.s. convergence for infinite colour P\'olya urns associated with random
  walks   We consider P\'olya urns with infinitely many colours that are of a random
walk type, in two related version. We show that the colour distribution a.s.,
after rescaling, converges to a normal distribution, assuming only second
moments on the offset distribution. This improves results by Bandyopadhyay and
Thacker (2014--2017; convergence in probability), and Mailler and Marckert
(2017; a.s. convergence assuming exponential moment).

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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci