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Spatial determinism for a free Z2-action Public Deposited

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  • Spatial determinism for a free Z²-action
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  • 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.
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  • 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
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  • This research is supported in part by KRF20100020946.
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