Symbolic Dynamics: Entropy = Dimension = Complexity
نویسندگان
چکیده
منابع مشابه
Effective symbolic dynamics, random points, statistical behavior, complexity and entropy
We consider the dynamical behavior of Martin-Löf random points in dynamical systems over metric spaces with a computable dynamics and a computable invariant measure. We use computable partitions to define a sort of effective symbolic model for the dynamics. Through this construction we prove that such points have typical statistical behavior (the behavior which is typical in the Birkhoff ergodi...
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ژورنال
عنوان ژورنال: Theory of Computing Systems
سال: 2014
ISSN: 1432-4350,1433-0490
DOI: 10.1007/s00224-014-9546-8