All Questions
Tagged with fractals hausdorff-dimension
2 questions from the last 7 days
4
votes
0
answers
79
views
An algebraic condition possibly related with the Hausdorff measure on $\mathbb{R}$
This is my first time to ask a question here. Please tell me if I can improve it.
I would like to introduce the following definition inspired from a measure theory exercise.
Definition. A subset $K$ ...
1
vote
0
answers
27
views
What is $3/2$-dimensional Hausdorff measure of the graph of Brownian motion?
It is well-known, and well-documented, that the Hausdorff dimension of the graph of regular $1$-dimensional Brownian motion is $3/2$ (almost surely). See for example Theorem 4.29 in "Brownian ...
- 583