Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted inhomogeneous Diophantine approximation and badly approximable
  sets   For any real pair i, j geq 0 with i+j=1 let Bad(i, j) denote the set of (i,
j)-badly approximable pairs. That is, Bad(i, j) consists of irrational vectors
x:=(x_1, x_2) in R^2 for which there exists a positive constant c(x) such that
max {||qx_1||^(-i), ||qx_2||^(-j)} > c(x)/q for all q in N. A new
characterization of the set Bad(i, j) in terms of `well-approximable' vectors
in the area of 'twisted' inhomogeneous Diophantine approximation is
established. In addition, it is shown that Bad^x(i, j), the `twisted'
inhomogeneous analogue of Bad(i, j), has full Hausdorff dimension 2 when x is
chosen from the set Bad(i, j). The main results naturally generalise the
i=j=1/2 work of Kurzweil.

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The categories of this paper are: stat
7
The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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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: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: econ