Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A functional limit theorem for the profile of $b$-ary trees   In this paper we prove a functional limit theorem for the weighted profile of
a $b$-ary tree. For the proof we use classical martingales connected to
branching Markov processes and a generalized version of the profile-polynomial
martingale. By embedding, choosing weights and a branch factor in a right way,
we finally rediscover the profiles of some well-known discrete time trees.

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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat