Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random walks with badly approximable numbers   Using the discrepancy metric, we analyze the rate of convergence of a random
walk on the circle generated by d rotations, and establish sharp rates that
show that badly approximable d-tuples in R^d give rise to walks with the
fastest convergence. We use the discrepancy metric because the walk does not
converge in total variation. For badly approximable d-tuples, the discrepancy
is bounded above and below by (constant)k^(-d/2), where k is the number of
steps in the random walk. We show how the constants depend on the d-tuple.

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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio