6 problems

Let $Y$ be the Wiener–Weierstrass bridge with parameters $H$ and $K$, and let $\operatorname{Gr}(Y)$ denote its graph. The known formula is that, when $K>2H-1$, the Hausdorff dimen…

Let $Y$ be the Wiener–Weierstrass bridge in the critical case $H=K$, and set $p=1/H$. Its critical $p$-variation is infinite. Schied–Zhang's logarithmic correction conjecture. The…

Let $Y$ be the Wiener–Weierstrass bridge with $H=K$, let $b\geq 2$, and consider its $b$-adic $(1/H)$-variation. For $t\in[0,1]$, the normalized sums use a sequence $a_n$. Schied–Z…

Let $Y$ be the Wiener–Weierstrass bridge, with parameters $H$ and $K$, and suppose $H>K$. Its limiting $b$-adic $(1/K)$-variation is $Vt$, where $V$ is a finite positive random var…

Let $Y=Y_{\alpha,b,H}$ be the fractional Wiener–Weierstrass process, and let $Z_s$ be the random variable arising in the local modulus result referred to as (iii). Non-constant pos…

Let $Y=Y_{\alpha,b,H}$ be the fractional Wiener–Weierstrass process, let $K=\min\{1,-\log_b(\alpha)\}$, and let $\rho(s,t)=|s-t|^H$. Strong local nondeterminism conjecture. If…