Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Concentration of Measure Inequalities and Their Communication and
  Information-Theoretic Applications   During the last two decades, concentration of measure has been a subject of
various exciting developments in convex geometry, functional analysis,
statistical physics, high-dimensional statistics, probability theory,
information theory, communications and coding theory, computer science, and
learning theory. One common theme which emerges in these fields is
probabilistic stability: complicated, nonlinear functions of a large number of
independent or weakly dependent random variables often tend to concentrate
sharply around their expected values. Information theory plays a key role in
the derivation of concentration inequalities. Indeed, both the entropy method
and the approach based on transportation-cost inequalities are two major
information-theoretic paths toward proving concentration.
  This brief survey is based on a recent monograph of the authors in the
Foundations and Trends in Communications and Information Theory (online
available at http://arxiv.org/pdf/1212.4663v8.pdf), and a tutorial given by the
authors at ISIT 2015. It introduces information theorists to three main
techniques for deriving concentration inequalities: the martingale method, the
entropy method, and the transportation-cost inequalities. Some applications in
information theory, communications, and coding theory are used to illustrate
the main ideas.

14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th