Store-and-forward had been the predominant technique for transmitting information through
a network until its optimality was refuted by network coding theory. Network coding offers a …

This article surveys all known fields of network coding theory and leads the reader through
the antecedents of the network coding theory to the most recent results, considering also …

In this manuscript, we offer a gentle review of submodularity and supermodularity and their
properties. We offer a plethora of submodular definitions; a full description of a number of …

This book is an evolution from my book A First Course in Information Theory published in
2002 when network coding was still at its infancy. The last few years have witnessed the …

“There is a whole book of readymade, long and convincing, lavishly composed telegrams for
all occasions. Sending such a telegram costs only twenty-five cents. You see, what gets …

A bstract We initiate a systematic enumeration and classification of entropy inequalities
satisfied by the Ryu-Takayanagi formula for conformal field theory states with smooth …

This comprehensive text on entropy covers three major types of dynamics: measure
preserving transformations; continuous maps on compact spaces; and operators on function …

A First Course in Information Theory is an up-to-date introduction to information theory. In
addition to the classical topics discussed, it provides the first comprehensive treatment of the …

Abstract Information-theoretic quantities like entropy and mutual information have found
numerous uses in machine learning. It is well known that there is a strong connection …

Given n discrete random variables/spl Omega/={X/sub 1/,/spl middot//spl middot//spl middot/,
X/sub n/}, associated with any subset/spl alpha/of (1, 2,/spl middot//spl middot//spl middot …