Big Think Interview With Benoit Mandelbrot

[bib]

I noticed that after David Makin saw this topic and viewed the video, that he must have decided this group would not be able to answer a question he had about what Mr. Mandelbrot said.  For he posted the following to the UF-Programmers' email list:

He mentions an original as yet unproved conjecture that two different
constructs for the Set are identical - anyone know the details ?
I can't seem to find the conjecture he refers to.

Maybe somebody here really can assist him.
 

Very very interesting interview, especially because I'm French as well

I *think* the 2 definitions are, in my simple words :

- the set of c points that stay bounded when iterating infinitely z²+c
- the set of c points for which the Julia set is connected

correct ?

[kram1032]

Nope.
Well, I'm pretty sure, nope.
He rather talked about two different ways to get that set. At least to me it sounded like that...

[bib]

I'm very curious to know the answer then. I had heard about the "locally connected" conjecture, but not about this one.

[Nahee_Enterprises]

    I'm very curious to know the answer then.  I had heard about the "locally connected"
    conjecture, but not about this one.

Well . . .  besides getting Mr. Mandelbrot to make a comment or two on the new Mandelbulb/box formulas and images, we should also get him to give a bit more explanation on that interview.  Apparently there does not seem to be an answer available.
 

[Tglad]

bib's idea seems reasonable... I'd put a few cents on it being right

[jehovajah]

So this is an update from Benoit himself and is of interest to us here.


<a href="http://www.youtube.com/v/ay8OMOsf6AQ&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/ay8OMOsf6AQ&rel=1&fs=1&hd=1</a>

[cbuchner1]

Thank you for posting! He's quite a good public speaker. I also liked the short film that came after the speech.