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.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.date.embargo	2013-05-01
dc.description.embargo	2013-05-01
dc.description.embargopolicy	Repository Administrators	en