Entropy of n-Fold Compositions of the Tent Map

Define a tent map by
where , ; has a maximum at .
Let be the function composed with itself times and let be the number of intervals over which is monotone; for the tent maps considered here, is twice the number of maxima of .
Define the entropy to be .
For the tent map with maximum at , the entropy of is 1, as the number of maxima is .


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