most citedDynamics and abstract computability: computing invariant measures

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math.PR2009

Randomness on Computable Probability Spaces - A Dynamical Point of View

Peter Gacs, Mathieu Hoyrup, Cristobal Rojas

We extend the notion of randomness (in the version introduced by Schnorr) to computable Probability Spaces and compare it to a dynamical notion of randomness: typicality. Roughly,…