Describe the itineraries of all points that eventually land

Reference no: EM13895821

1. Using symbolic dynamics, describe the itineraries of all points that eventually land on 0. How many such points are there?

2. Which points in I have orbits that eventually land on 0?

3. Give an example of a different point whose orbit fills the set X densely.

4. Give an example of a sequence whose orbit under the shift map comes arbitrarily close to the sequence (0, 0, 0, ...) but never lands on this sequence.

Reference no: EM13895821

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