Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options answers only not deleted user 454

Dynamics of holomorphic transformations; Mandelbrot and Julia sets.

2 votes

Is there a way to find regions of depth in the Mandelbrot set other than simply poking around?

Chaos and Fractals: New Frontiers of Science, by Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe Chapter 14
Gerald Edgar's user avatar
  • 41.1k
24 votes
Accepted

Parametrization of the boundary of the Mandelbrot set

Lasse's answer expanded: Let $\psi$ be the map of the exterior of the unit disk onto the exterior of the Mandelbrot set, with Laurent series $$ \psi(w) = w + \sum_{n=0}^\infty b_n w^{-n} = w - \frac{1 …
Gerald Edgar's user avatar
  • 41.1k