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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

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

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

This review volume consists of a set of chapters written by leading scholars, most of them founders of their fields. It explores the connections of Randomness t

Computable analysis is the modern theory of computability and complexity in analysis that arose out of Turing's seminal work in the 1930s. This was motivated by