Data Analysis by Driven IFS

Exercise Answers

8. Taking B3 slightly greater than max{x1, x2, ...}, all the data points must lie in bins 1, 2, and 3.
Consequently, the IFS is driven by T1, T2, and T3, the IFS rules generating a gasket.
The starting point (0.5, 0.5) belongs to this gasket, and T1, T2, and T3 always take points on the gasket to points on the gasket, so all the driven IFS points will lie on the gasket.

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