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Shell Thron boundary classification
#1
The Shell Thron boundary contains the majority of interesting dynamics. I'm now reading about the Small Division Problem. What classifications have I missed?

Off of the Shell Thron boundary 
  • Superattractor
  • Schroeder Functional Equation
On Shell Thron boundary
  • Schroeder Functional Equation - My research may be incorrect in associating irrational multipliers while not including Small Division Problem
  • Abel Functional Equation 
  • Roots of Unity
  • Small Division Problem - Herman, Yaccoz 
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