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Spatial determinism for a free Z2-action

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dc.creator Burton, Robert
dc.creator Park, Kyewon K.
dc.date.accessioned 2012-07-30T17:56:05Z
dc.date.available 2013-10-15T22:18:24Z
dc.date.issued 2012-04
dc.identifier.citation Burton, R., & Park, K. (2012). Spatial determinism for a free Z(2)-action. Ergodic Theory and Dynamical Systems, 32, 479-489 doi:10.1017/2S0143385711000770 en_US
dc.identifier.uri http://hdl.handle.net/1957/31647
dc.description This is the publisher’s final pdf. The published article is copyrighted by Cambridge University Press and can be found at: http://journals.cambridge.org/action/login. en_US
dc.description.abstract We extend the idea of bilateral determinism of a free Z-action by D. Ornstein and B. Weiss to a free Z²-action. We show that we have a 'stronger' spatial determinism for Z²-actions: to determine the complete Z²-name of a point, it is enough to know the name of a fraction of the orbit whose density can be made arbitrarily small. Moreover, for zero-entropy Z²-actions, we prove that there exists a partition (P) over tilde such that the (P) over tilde -names of an arbitrarily small one-sided cone determine the points. en_US
dc.description.sponsorship This research is supported in part by KRF20100020946. en_US
dc.language.iso en_US en_US
dc.publisher Cambridge University Press en_US
dc.relation.ispartofseries Ergodic Theory and Dynamical Systems en_US
dc.relation.ispartofseries Vol. 32 no. 2 en_US
dc.subject Amenable groups en_US
dc.subject Entropy en_US
dc.subject Transformations en_US
dc.subject Dimensions en_US
dc.title Spatial determinism for a free Z2-action en_US
dc.title.alternative Spatial determinism for a free Z²-action en_US
dc.type Article en_US
dc.identifier.doi 10.1017/S0143385711000770
dc.description.embargopolicy Repository Administrators en

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