6.D.6. IFS Driven by Dynamical Systems

Markov Partitions and Driven IFS - Example

Continuing this analysis of the logistic map, we see

from bin3 the logistic map cannot immediately iterate to bin1, to bin2, or to bin3.

Consequently, in the driven IFS

T1 cannot immediately follow T3, T2 cannot immediately follow T3 , and T3 cannot immediately follow T3.

As a result, in the driven IFS the squares with addresses 13, 23, and 33 must be empty.

Continue to Markov Example, bin 4.

Return to Markov Partitions and Driven IFS.