ABSTRACT
Spatial determinism for Z^2-actions
Kyewon Park, September 11, 2001
We extend the idea of bilateral determinism of a free Z-action by
D. Ornstein and B. Weiss to a free Z^2 action.
We show that we have a stronger spatial determinism for Z^2-actions. To
determine the complete Z^2 name of a point, it is enough to know the name
of a fraction of the orbit which can be made arbitrarily small.
Also we investigate the analogous theorem for the entropy 0 case.
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Martijn Pistorius
(pistorius@math.uu.nl)
Last Updated: September 3, 2001