Return to Question

edited body; edited title

Source Link

edited Jul 28, 2016 at 8:46

66.3k
5
180
283

intuitional Intuitional feeling of harmonic measure on one-third Cantor set

It is known that the harmonic measure on classical one third-third Cantor set has hausdroffHausdorff dimension strictly less than $\frac{\log 2}{\log 3}$. Even harmonic measure has a close relation with brownian motion. It is still be mysterious to have a better undertanding towards this.

Can any one give a intuitional explanation for this phenomenon.?

Source Link

asked Jul 28, 2016 at 7:15

yaoxiao

1.7k
1
14
21

intuitional feeling of harmonic measure on one-third Cantor set

It is known that the harmonic measure on classical one third Cantor set has hausdroff dimension strictly less than $\frac{\log 2}{\log 3}$. Even harmonic measure has a close relation with brownian motion. It is still be mysterious to have a better undertanding towards this.

Can any one give a intuitional explanation for this phenomenon.