Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodic properties of {\beta}-adic Halton sequences   We investigate a parametric extension of the classical s-dimensional Halton
sequence, where the bases are special Pisot numbers. In a one- dimensional
setting the properties of such sequences have already been in- vestigated by
several authors [5, 8, 23, 28]. We use methods from ergodic theory to in order
to investigate the distribution behavior of multidimen- sional versions of such
sequences. As a consequence it is shown that the Kakutani-Fibonacci
transformation is uniquely ergodic.

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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: stat