In this problem, we'll learn more about the lled Julia set of the V map. You should refer to the week 8 notes and slides for background information...
DYNAMIC CHAOTICS: V sends each (n+1)st level to an nth-level interval.
In this problem, we’ll learn more about the filled Julia set of the V map. You should referto the week 8 notes and slides for background information and terminology. The labeling of nth—level intervals that we used in class make it easy to see where Vsends each interval, but it makes it hard to see where each interval sits on the real line. The pictures below show a different labeling, which makes it easy to see Where each interval sits. LL RL Removing L0 and L1 from R leaves two first—level intervals. The left and right intervals arecalled HL and HR, respectively. Removing L2 splits each first—level interval into a pair ofsecond—level intervals. The left and right halves of BL are called Hu. and H13, respectively.The left and right halves of HR are called Hm, and HER, respectively. In general, the left andright halves of H are called H L and H B, respectively.
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