Do Fractals have anything to do with Brownian motion?

AI Thread Summary
Fractals and Brownian motion share similarities, prompting discussions about their relationship. Brownian motion was explained prior to the formal study of fractals. Some researchers have explored the connection between fractals and Brownian motion, particularly through the concept of fractional Brownian motion. This indicates that fractals can provide insights into the behavior of Brownian motion. Overall, the intersection of these two mathematical concepts is a topic of interest in scientific discussions.
Herricane
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I watched a show on Fractals and it sort of remind me of Brownian motion. So my question is has anyone ever used fractals to explain Brownian motion?
 
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Herricane said:
I watched a show on Fractals and it sort of remind me of Brownian motion. So my question is has anyone ever used fractals to explain Brownian motion?

I believe that Brownian motion was successfully explained before fractals were solidified as an object of study.
 
Herricane said:
I watched a show on Fractals and it sort of remind me of Brownian motion. So my question is has anyone ever used fractals to explain Brownian motion?

yes.

http://en.wikipedia.org/wiki/Fractional_Brownian_motion
 

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