Re: What has fractal theory achieved?



Ken wrote:

We are all aware that fractals result in very nice pictures,
useful compression schemes and some cosmological models. My question,
what has the impact of fractals and fractal theory been on mathematics
and physics as a whole? Have they opened any new avenues of exploration?

Check out Michael Barnsley's work.

Are his compression methods used anywhere?
My (almost completely ignorant) impression
is that he made some absurdly inflated claims,
which put people off pursuing his methods.



--
Timothy Murphy
e-mail: gayleard /at/ eircom.net
tel: +353-86-2336090, +353-1-2842366
s-mail: School of Mathematics, Trinity College, Dublin 2, Ireland
.



Relevant Pages

  • Re: What has fractal theory achieved?
    ... useful compression schemes and some cosmological ... what has the impact of fractals and fractal theory ... been on mathematics ... and physics as a whole? ...
    (sci.math)
  • Re: What has fractal theory achieved?
    ... useful compression schemes and some cosmological models. ... what has the impact of fractals and fractal theory been on mathematics ...
    (sci.math)
  • Re: What has fractal theory achieved?
    ... useful compression schemes and some cosmological ... what has the impact of fractals and fractal theory ... and physics as a whole? ... can they, besides produce nice pictures, be used in real ...
    (sci.math)
  • Re: What has fractal theory achieved?
    ... useful compression schemes and some cosmological ... what has the impact of fractals and fractal theory ... orbits, heart motion, schizophrenia. ... can they, besides produce nice pictures, be used in real ...
    (sci.math)
  • Re: What has fractal theory achieved?
    ... useful compression schemes and some cosmological ... what has the impact of fractals and fractal theory ... been on mathematics ... and physics as a whole? ...
    (sci.math)