Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit and almost sure conditions for K/2 degrees of freedom   It is well known that in K-user constant single-antenna interference channels
K/2 degrees of freedom (DoF) can be achieved for almost all channel matrices.
Explicit conditions on the channel matrix to admit K/2 DoF are, however, not
available. The purpose of this paper is to identify such explicit conditions,
which are satisfied for almost all channel matrices. We also provide a
construction of corresponding asymptotically DoF-optimal input distributions.
The main technical tool used is a recent breakthrough result by Hochman in
fractal geometry.

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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys