Fifth Homework Set Answers

4. IFS (d) has f(αmax) = 1. That is, the highest α values form a set of dimension 1. Highest α corresponds to the lowest probabilities, so to achieve this we must have the two lowest probabilities equal to one another, and the other two probabilities different. This is choice (a).

IFS (e) has f(αmin) = 1. For this we must have the two highest probabilities equal to one another. This is choice (c).

IFS (f) has f(αmax) about 1.6. This is the dimension of the gasket, so three transformations must be applied with the same (low) probability. This is choice (b).

(d)   (e)   (f)

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