The last two decades have seen a wave of exciting new developments in the theory of algorithmic randomness and its applications to other areas of mathematics. T

The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshop

This essential companion to Chaitin's successful books The Unknowable and The Limits of Mathematics, presents the technical core of his theory of program-size c

Computability and complexity theory are two central areas of research in theoretical computer science. This book provides a systematic, technical development of

This review volume consists of an indispensable set of chapters written by leading scholars, scientists and researchers in the field of Randomness, including re