09/08/2022, 12:19 PM
No, James, this has nothing to do with real-valued iteration, though the curves look similar to the thread "Real Multivalued/Parametrized Iteration Groups".
This is plain old regular (hyperbolic) iteration approaching the parabolic case in the limit.
What I remember from Milnor he does not really consider the proper parabolic case, rather says just take the k-fold iterate then you have multiplier 1. Can you perhaps refer to the section where he talks about parabolic case != 1?!
This is plain old regular (hyperbolic) iteration approaching the parabolic case in the limit.
What I remember from Milnor he does not really consider the proper parabolic case, rather says just take the k-fold iterate then you have multiplier 1. Can you perhaps refer to the section where he talks about parabolic case != 1?!