2 problems

Let $A$ be a Sidon set in an ambient abelian group, and let $X$ and $Y$ be independent random variables taking values in $A$. Let $H$ denote Shannon entropy. Ajjanagadde's conjectu…

Inflection-point conjecture. There exists an inflection point $\chi_n(\alpha)\in\bigl(H_{\text{\scriptsize \boldmath }v_n}(\mathrm{e}^{-n}),\ln n\bigr)$ such that…