Inequalities in information theory

We prove the quantum conditional Entropy Power Inequality for quantum additive noise channels. This inequality lower bounds the… Expand

The entropy region is constructed from vectors of random variables by collecting Shannon entropies of all subvectors. Its shape… Expand

A new notion of partition-determined functions is introduced, and several basic inequalities are developed for the entropy of… Expand

Two-dimensional magnetic recording (TDMR) differs from traditional track recording in that the bit-size-to-grain-size ratio is… Expand

Non-linear elliptic Neumann problems, possibly in irregular domains and with data affected by low integrability properties, are… Expand

Claude Elwood Shannon in 1948, then of the Bell Labs, published one of the ground breaking papers in the history of engineering… Expand

Shannon-theoretic limits on the achievable throughput for a simple cellular multiple-access system (referred to as Wyner's (1994… Expand

The role of inequalities in information theory is reviewed, and the relationship of these inequalities to inequalities in other… Expand

Preface to the Second Edition. Preface to the First Edition. Acknowledgments for the Second Edition. Acknowledgments for the… Expand

It is known that the maximum entropy stationary Gaussian stochastic process, subject to a finite number of autocorrelation… Expand