This volume consists of a collection of tutorial papers, by leading experts, on statistical and probabilistic aspects of chaos and networks, in particular neural networks. While written for the non-expert, they are intended to bring the reader up to the forefront of knowledge and research in the subject areas concerned. The papers, which contain extensive references to the literature, can separately or in various combinations serve as bases for short or full length courses, at graduate or more advanced levels. The papers are directed not only at mathematical statisticians but also to students and researchers in the related field of biology, engineering, geology, physics and probability. This book should be of interest to researchers in statistics, computer science and mathematics.