4 problems

Rate-optimality conjecture. Choosing

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…