Randomness on Computable Probability Spaces - A Dynamical Point of View

Simple item page
dc.creatorGacs, Peter
dc.creatorHoyrup, Mathieu
dc.creatorRojas, Cristobal
dc.date2009-02-11
dc.date.accessioned2026-07-07T12:40:40Z
dc.date.available2026-07-07T12:40:40Z
dc.descriptionWe 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, a point is typical for some dynamic, if it follows the statistical behavior of the system (Birkhoff's pointwise ergodic theorem). We prove that a point is Schnorr random if and only if it is typical for every mixing computable dynamics. To prove the result we develop some tools for the theory of computable probability spaces (for example, morphisms) that are expected to have other applications.
dc.identifierhttps://arxiv.org/abs/0902.1939
dc.identifierhttp://arxiv.org/abs/0902.1939
dc.identifier26th International Symposium on Theoretical Aspects of Computer Science - STACS 2009 (2009) 469-480
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219509
dc.subjectProbability
dc.subjectDynamical Systems
dc.titleRandomness on Computable Probability Spaces - A Dynamical Point of View
dc.typetext

Files

Collections

arXiv