4 problems

Diagonal stability conjecture. There exist positive constants $C_p>0$ such that, if $(r_k)$ is log-concave, then

Let $G$ be a standard Gaussian random variable, let $X_1,\ldots,X_n$ be independent identically distributed symmetric random variables with … and let $a_1,\ldots,a_n$ satisfy the n…

Third-moment stability conjecture. There exists a universal constant $C_3>0$ such that

Optimal fourth-moment deficit conjecture. For every $p\geq 3$,