4 problems

Dzhafarov–Kujala proportionality conjecture. In the class of cyclic systems, $\text{CNT}_{3}$ and $\text{CNT}_{2}$ should be proportional.

Let $V_i$) and $W_i$ ($i=1,\dots,n$) be $\pm1$-valued random variables arranged in a cyclic system, with $W_{i\oplus1}$ paired with $V_i$. Write $\langle\cdot\rangle$ for expectati…

Equivalence of the cyclic-system criteria. The master criterion follows from the general cyclic-system criterion as well; equivalently, the two criteria are equivalent. The source…

Let $\left(\mathfrak{S},\mathfrak{C}\right)$ be a system with … where $\pi$ is a circular permutation of $\{1,\ldots,n\}$, and … Here $\Delta_0(\mathfrak{C})$ is the sum of minimal…