Re: What has fractal theory achieved?



We are all aware that fractals result in very nice
e 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?

Heck, yes. Just knowing the effect of scale on
measure is a tremendously useful and important
tool for modeling physical phenomena. Simply
checking the index of James Gleick's 1987 classic,
Chaos, under "models," you'll find references to
earthquakes, ecology, economics, epidemics, galactic
orbits, heart motion, schizophrenia. Quite a diversity
of subjects!

Tom
.



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