• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 online-book: Milnor, dynamics in one complex variable bo198214 Administrator Posts: 1,389 Threads: 90 Joined: Aug 2007 05/23/2009, 04:21 PM (This post was last modified: 05/23/2009, 05:22 PM by bo198214.) 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 $f(x)=e^{x/e}$, which has multiplicity 2 and hence one attracting and one repelling petal. Its available for download here. « Next Oldest | Next Newest »

 Possibly Related Threads... Thread Author Replies Views Last Post Complex Tetration, to base exp(1/e) Ember Edison 7 2,579 08/14/2019, 09:15 AM Last Post: sheldonison THE problem with dynamics tommy1729 1 2,500 04/04/2017, 10:52 PM Last Post: tommy1729 Dynamics as alternating waves tommy1729 2 2,505 02/13/2017, 01:01 AM Last Post: tommy1729 An explicit series for the tetration of a complex height Vladimir Reshetnikov 13 12,998 01/14/2017, 09:09 PM Last Post: Vladimir Reshetnikov Cyclic dynamics f(-x) = T (f(x)) tommy1729 2 2,715 08/25/2015, 08:23 AM Last Post: tommy1729 Mizugadro, pentation, Book Kouznetsov 41 49,118 03/02/2015, 08:13 PM Last Post: sheldonison [2014] " statistical dynamics " tommy1729 0 1,814 08/31/2014, 11:53 PM Last Post: tommy1729 Negative, Fractional, and Complex Hyperoperations KingDevyn 2 6,548 05/30/2014, 08:19 AM Last Post: MphLee new results from complex dynamics bo198214 25 35,789 02/25/2013, 01:42 AM Last Post: sheldonison Complex Tetration Balarka Sen 16 22,960 02/21/2013, 02:23 PM Last Post: sheldonison

Users browsing this thread: 1 Guest(s)