5 problems

A random matrix has local spectral properties determined by its symmetry class, while its entry distribution does not affect them. Wigner–Dyson–Mehta universality conjecture. The l…

Universality conjecture for class A parametric covariance. For models of class A with such global, diffusive, stationary and isotropic dynamics,

Universality conjecture. The operator $H_{n,k}$ converges in the sense of Theorem (i) to

Twelfth-moment conjecture. The existence of the twelfth moment

Twelfth-moment conjecture. The existence of ${\bf E}\,\lvert a_{ij}\rvert^{12}$ should be necessary for the existence of a universal upper bound for $M_{2s_n}^{(n)}$ as…