Show simple item record

dc.contributor.authorGács, Peteren_US
dc.contributor.authorHoyrup, Mathieuen_US
dc.contributor.authorRojas, Cristobalen_US
dc.contributor.editorAlbers, Susanneen_US
dc.contributor.editorMarion, Jean-Yvesen_US
dc.date.accessioned2018-06-13T16:21:49Z
dc.date.available2018-06-13T16:21:49Z
dc.date.issued2009
dc.identifierhttp://stacs2009.informatik.uni-freiburg.de/proceedings.php
dc.identifier.citationPéter Gács, Mathieu Hoyrup, Cristobal Rojas. 2009. "Randomness on Computable Probability Spaces - A Dynamical Point of View.." Symposium on Theoretical Aspects of Computer Science 2009 ( Freiburg), pp. 469–480.
dc.identifier.urihttps://hdl.handle.net/2144/29384
dc.description.abstractWe 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.en_US
dc.format.extent469 - 480en_US
dc.publisherSchloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germanyen_US
dc.relation.ispartofSTACS
dc.subjectSchnorr randomnessen_US
dc.subjectBirkhoff’s ergodic theoremen_US
dc.subjectComputable measuresen_US
dc.titleRandomness on computable probability spaces - A dynamical point of viewen_US
dc.typeConference materialsen_US
pubs.elements-sourcedblpen_US
pubs.notesEmbargo: No embargoen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Computer Scienceen_US


This item appears in the following Collection(s)

Show simple item record