This monograph provides and explains the mathematics behind geometric graph theory, which studies the properties of a graph that consists of nodes placed in Euclidean space so that edges can be added to connect points that are close to one another. For example, a collection of trees scattered in a forest and the disease that is passed between them, a set of nests of animals or birds on a region and the communication between them or communication between communications stations or nerve cells. Aimed at graduate students and researchers in probability, statistics, combinatorics and graph theory...

This is a collection of topical survey articles by researchers in the fields of applied analysis and probability theory, working on the mathematical description of growth phenomena. Particular emphasis is given to the interplay of the usually separate fields of applied analysis and probability theory.

A concise introduction, aimed at young researchers, to recent developments of a geometric and topological nature in random graphs.

A concise introduction, aimed at young researchers, to recent developments of a geometric and topological nature in random graphs.

A modern introduction to the Poisson process, with general point processes and random measures, and applications to stochastic geometry.

A modern introduction to the Poisson process, with general point processes and random measures, and applications to stochastic geometry.