6.D.6. IFS Driven by Dynamical Systems

Markov Partitions and Driven IFS - Example

Continuing this analysis of the logistic map, we see

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

Consequently, in the driven IFS

T1 cannot immediately follow T2,

T2 cannot immediately follow T2 , and

T3 cannot immediately follow T2.

As a result, in the driven IFS the squares with addresses

12, 22, and 32

must be empty.

Continue to Markov Example, bin 3.

Return to Markov Partitions and Driven IFS.