This book demonstrates the usefulness of geometric methods in probability theory and mathematical statistics, and shows close relationships between these discip

This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions betwe

Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that

Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, and it has vig

An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.