Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lower Bound on the Entropy Rate for a Large Class of Stationary
  Processes and its Relation to the Hyperplane Conjecture   We present a new lower bound on the differential entropy rate of stationary
processes whose sequences of probability density functions fulfill certain
regularity conditions. This bound is obtained by showing that the gap between
the differential entropy rate of such a process and the differential entropy
rate of a Gaussian process with the same autocovariance function is bounded.
This result is based on a recent result on bounding the Kullback-Leibler
divergence by the Wasserstein distance given by Polyanskiy and Wu. Moreover, it
is related to the famous hyperplane conjecture, also known as slicing problem,
in convex geometry originally stated by J. Bourgain. Based on an entropic
formulation of the hyperplane conjecture given by Bobkov and Madiman we discuss
the relation of our result to the hyperplane conjecture.

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The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics