4 problems

Normality conjecture. The numbers of perfect matchings, Hamilton cycles, spanning trees, and $k$-factors where $k\le d-1$, are all asymptotically normally distributed in…

Let $\IGamma_{yy}$ and $\bGamma_{yy|x}$ be the matrices arising from the single-regression Granger-causality estimator, and let $\lambda_i$ denote the eigenvalues of…

Fixed-$d$ normality conjecture. For fixed $d$, the distribution of $X_{d,n}$ is asymptotically normal. That is,

Two-scale normality conjecture. For each fixed $n$, the distribution of $X_{d,n}$ is not asymptotically normal; in fact, $(X_{d,n}-\mu_{d,n})/\sigma_{d,n}$ tends to some abnormal d…