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.