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A stochastic process is a collection of random variables usually indexed by a totally ordered set.
4
votes
Accepted
Properties of the algebraic self-difference set of Brownian motion zeros
Regarding Hausdorff dimension $\dim_H$, the following holds:
$$
\dim_H(Z-Z)=1 \quad\text{a.s.}
$$
This is essentially a consequence of Marstrand's projection theorem, the (stochastic) self-similarit …