Research on the notions of information and randomness has drawn on methods and ideas from computability theory and cumputational complexity, as well as core mathematical subjects like measure theory and information theory. The Dagstuhl seminar 12021 ``Computability, Complexity and Randomness'' was aimed to meet people and ideas in these areas to share new results and discuss open problems. This report collects the material presented during the course of the seminar.
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