This book focuses on information-geometric manifolds of structured data and models and related applied mathematics. It features new and fruitful interactions be

Information geometry provides the mathematical sciences with a fresh framework of analysis. This book presents a comprehensive introduction to the mathematical

Sub-Riemannian geometry (also known as Carnot geometry in France, and non-holonomic Riemannian geometry in Russia) has been a full research domain for fifteen y

This is the first comprehensive book on information geometry, written by the founder of the field. It begins with an elementary introduction to dualistic geomet

Most polynomial growth on every half-space Re (z) ::::: c. Moreover, Op(t) depends holomorphically on t for Re t> O. General references for much of the material