The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vecto

The book introduces classical inequalities in vector and functional spaces with applications to probability. It develops new analytical inequalities, with sharp

"The strongest part of the book is the discussion in Chapter 4 of martingale inequalities, mainly various versions of the Burkholder-Davis-Gundy inequality." Ma

The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dyn

Concentration of Measure Inequalities in Information Theory, Communications, and Coding focuses on some of the key modern mathematical tools that are used for t