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Abstract: We study the directional entropy of rank one Z^d actions. We show that if thesequence of towers generating the action are rectangular in shape, then thereis always a direction along which the directional entropy is zero. If therectangles satisfy a -sub-exponential growth- condition, then we show that thedirectional entropy is zero in every direction.



Author: E. Arthur Robinson Jr., Ayse A. Sahin

Source: https://arxiv.org/



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