Dynamical systems which realize given random bi-sequences of points on their orbits
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概要
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A dynamical system consists of a phase space of possible states, together with an evolution rule that determines all future states and all past states given a state at any particular moment. In this paper, we show that for any countable random infinite bi-sequences of states of some phase space, there exists an evolution rule in C0-topology which realizes precisely the given sequences of states on their orbits and satisfies some regular conditions on the times to realize the states.
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