Factorization calculus and geometric probability

About “Factorization calculus and geometric probability”

This book explores geometric probability and integral geometry, as well as stochastic geometry, through a unifying framework. The author emphasizes the factorisation properties of measures and probabilities under group invariance, using these to examine complex factors. The approach is designed to be accessible, with basic concepts in integral geometry and random point processes explained in a simple, geometric manner. The book requires only standard knowledge of probability and analysis, making it suitable for non-specialists. Its ideas have applications in fields such as stereology, tomography, geometrical statistics, and pattern analysis. It serves as an introduction to geometric probability and integral geometry, offering a modern perspective for those entering these areas.