Information Geometry: Near Randomness and Near Independence

Description

This volume uses information geometry to give a common differential geometric framework for a wide range of illustrative applications including amino acid sequence spacings, cryptology studies, clustering of communications and galaxies, and cosmological voids. Front Matter....Pages I-X Mathematical Statistics and Information Theory....Pages 1-18 Introduction to Riemannian Geometry....Pages 19-30 Information Geometry....Pages 31-54 Information Geometry of Bivariate Families....Pages 55-107 Neighbourhoods of Poisson Randomness, Independence, and Uniformity....Pages 109-117 Cosmological Voids and Galactic Clustering....Pages 119-137 Amino Acid Clustering....Pages 139-151 Cryptographic Attacks and Signal Clustering....Pages 153-159 Stochastic Fibre Networks....Pages 161-194 Stochastic Porous Media and Hydrology....Pages 195-222 Quantum Chaology....Pages 223-233 Back Matter....Pages 235-253