Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Absorbing sets of homogeneous subtractive algorithms   We consider homogeneous multidimensional continued fraction algorithms, in
particular a family of maps which was introduced by F. Schweiger. We prove his
conjecture regarding the existence of an absorbing set for those maps. We also
establish that their renormalisations are nonergodic which disproves another
conjecture due to Schweiger. Other homogeneous algorithms are also analysed
including ones which are ergodic.

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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: cs