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

The theory of random graphs is a vital part of the education of any researcher entering the fascinating world of combinatorics. However, due to their diverse na

The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation

This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises.

Detailed account of analysis on Polish spaces with a straightforward introduction to optimal transportation.