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Orbit Problem Revisited

In this letter, we revisit the {\em orbit problem}, which was studied in \cite{HAR69,SHA79,KL86}. In \cite{KL86}, Kannan and Lipton proved that this problem is decidable in polynomial time. In this paper, we study the {\em approximate orbit problem}, and show that this problem is decidable except for one case.

preprint2013arXivOpen access

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