On the Hausdorff dimension of graph of random vector-valued Weierstrass function

Jun Jason Luo, Zi-Rui Zhang

Let $\hat{I}˜=\{\hat{I}{¸}_n\},\hat{I}›=\{\hat{I}{»}_n\}$ be two sequences of independent and identically distributed uniform random variables on $[0,1]$. The random vector-valued Weierstrass function is giv…