Although there is no precise definition of a “fractal”, it is usually understood to be a set whose smaller parts, when magnified, resemble the whole. Self-s

Now in paperback, the main theme of this book is the study of geometric properties of general sets and measures in euclidean spaces. Applications of this theory

A collection of contributions by outstanding mathematicians, highlighting the principal directions of research on the combination of fractal geometry and stocha

This book studies the geometric properties of general sets and measures in euclidean space.

The first thorough treatment of the Assouad dimension in fractal geometry, with applications to many fields within pure mathematics.