3 problems

Hilberg's conjecture. Block entropy grows sub-linearly as a power law in the block length, reflecting strong long-range dependencies in natural language.

The co-occurrence independence ratio $\mathcal{I}_{k,m}$ measures statistical dependencies against a co-occurrence background, where $k$ is the sample size and $m$ is the context-w…

Let ${\cal O}_{{\cal G}_2}$, ${\cal O}_{{\cal G}_3}$, ${\cal O}_{{\cal G}_9}$, and ${\cal O}_{{\cal G}_{10}}$ be observables associated with the corresponding graphs, and let their…