🚀 go-pugleaf

In article <19362.2b3094ac@ecs.umass.edu> diamond@ecs.umass.edu writes:
>I have heard that there has been a recent proof that the
>dimension of the boundary of the quadratic Mandelbot set (Zn+1 =
>Zn^2 + C) is two.  I would like references and perhaps even a 
>short description of the proof.  Either post on sci.fractals or 
>send me mail.  Of course, if I heard wrong, feel free to ignore, 
>chastise, etc.

You heard right.  A preprint of Shishikura's paper can be obtained
by anonymous ftp from math.sunysb.edu in the directory preprints.
The particular one that you're looking for is

ims91-7
   Author:   M. Shishikura
   Title:    The Hausdorff Dimension of the Boundary of the Mandelbrot Set
             and Julia Sets.
   Abstract: It is shown that the boundary of the Mandelbrot set $M$ has
             Hausdorff dimension two and that for a generic $c \in \bM$, the
             Julia set of $z \mapsto z^2+c$ also has  Hausdorff dimension
             two.  The proof is based on the study of the bifurcation of
             parabolic periodic points.
   Format:   AmSTeX, with both PostScript figures and Sun Rasterfile
             pictures.  Requires psfig for figures.

The archive at Stony Brook can also be accessed by e-mail:

	send the message
 		send ims91-7 from preprints
	to preprints@math.sunysb.edu to retrieve the file

There's a ton of good stuff to be found here, but some familiarity
with TeX and PostScript will be necessary to process the files.

-- 
Tom Scavo
scavo@cie.uoregon.edu