Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds

Natanael Alpay

Let $S_1$ be the one-variation associated with the regular $n$-adic martingale filtration on $[0,1)$. We study the martingale isoperimetric profile \[ V_n(x):= \inf_{\substack{A\su…