Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Delocalisation of one-dimensional marginals of product measures and the
  capacity of LTI discrete channels   We consider discrete linear time invariant (LTI) channels satisfying the
phase independence (PI) assumption. We show that under the PI assumption the
capacity of LTI channels is positive. The main technical tool that we use to
establish the positivity of the capacity is the delocalisation theorem for
one-dimensional marginals of the product measure due to Ball and Nazarov. We
also prove two delocalisation results that can be seen as extensions of
Ball-Nazarov Theorem.

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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
18
The categories of this paper are: econ
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The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
10
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: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc