Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
online-book: Milnor, dynamics in one complex variable
#1
The book/lecture notes presents the key ideas of the modern dynamics in one complex variable (i.e. everything that has to do with iterations of holomorphic functions in the complex plane).

I found the chapter about local fixed point theory very interesting.
It presents our knowledge about Abel and Schröder functions in the light of complex dynamics.
Especially for parabolic fixed points, the Leau-Fatou-Flower explain this rather difficult case.

It applies for example to , which has multiplicity 2 and hence one attracting and one repelling petal.

Its available for download here.
Reply


Possibly Related Threads…
Thread Author Replies Views Last Post
Question Convergent Complex Tetration Bases With the Most and Least Imaginary Parts Catullus 0 85 07/10/2022, 06:22 AM
Last Post: Catullus
  Complex to real tetration via Kneser Daniel 3 192 07/02/2022, 02:22 AM
Last Post: Daniel
  Real and complex tetration Daniel 3 227 06/22/2022, 11:16 PM
Last Post: tommy1729
  Ueda - Extension of tetration to real and complex heights MphLee 4 1,226 05/08/2022, 11:48 PM
Last Post: JmsNxn
  Complex Tetration, to base exp(1/e) Ember Edison 7 11,744 08/14/2019, 09:15 AM
Last Post: sheldonison
  THE problem with dynamics tommy1729 1 5,147 04/04/2017, 10:52 PM
Last Post: tommy1729
  Dynamics as alternating waves tommy1729 2 5,627 02/13/2017, 01:01 AM
Last Post: tommy1729
  An explicit series for the tetration of a complex height Vladimir Reshetnikov 13 27,043 01/14/2017, 09:09 PM
Last Post: Vladimir Reshetnikov
  Cyclic dynamics f(-x) = T (f(x)) tommy1729 2 5,610 08/25/2015, 08:23 AM
Last Post: tommy1729
  Mizugadro, pentation, Book Kouznetsov 41 95,377 03/02/2015, 08:13 PM
Last Post: sheldonison



Users browsing this thread: 1 Guest(s)