The one time I attended a talk by Mandelbrot, I came away with a very low opinion of his verbal skills: whatever might have been going on in his mind, when he attempted to express it he seemed incapable of anything more than high-flown waffling. The interview you quoted does little to dispel this impression. I've no idea what the alternative definition he refers to might be; but it seems to me entirely possible that he was by this stage very unwell, and may simply have become confused. Happens to us all, eventually ... WFL On 7/27/11, David Makin <makinmagic@tiscali.co.uk> wrote:
The interview is I think from March 23, 2010 - at least that's what it says , and the conjecture he mentions is nothing to do with connectedness AFAIK - rather he says it's concerning two alternative definitions of the Set. See from 8.30 to 10.40 in the "Full Interview".
See around 9.40 into the "full interview".
On 27 Jul 2011, at 03:28, Fred lunnon wrote:
Extract from http://en.wikipedia.org/wiki/Mandelbrot_set
<< Douady and Hubbard have shown that the Mandelbrot set is connected. In fact, they constructed an explicit conformal isomorphism between the complement of the Mandelbrot set and the complement of the closed unit disk. Mandelbrot had originally conjectured that the Mandelbrot set is disconnected. This conjecture was based on computer pictures generated by programs which are unable to detect the thin filaments connecting different parts of M. Upon further experiments, he revised his conjecture, deciding that M should be connected.
It looks to me as if that interview is rather ancient. In particular, Mandelbrot died in October last year.
WFL
On 7/27/11, David Makin <makinmagic@tiscali.co.uk> wrote:
In this interview:
http://bigthink.com/benoitmandelbrot
He mentions two forms for the Mandelbrot that are believed to be equivalent but are not proved to be so. He doesn't give the details - can anyone either explain in more detail or point me at the details ? I've tried looking on the web but failed to find the conjecture the he mentions...
bye Dave _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun