4 problems

Let $f$ be in the Laguerre--Pólya class and satisfy the regular-variation condition on its roots. Let … and set $\rho=\frac{1}{\alpha}-1$. Write $\mu_p$ for the empirical root dist…

Domain-of-attraction conjecture. Assume that $\mu\in\mathcal{M}_k$ is not a point mass. Then $\nu$ is $\boxplus$-stable if and only if the free domain of attraction of $\nu$ is not…

Uniqueness conjecture. The measures $\sigma^k_\beta$ are the only $k$-symmetric $\boxtimes$-stable distributions.

A strictly stable probability measure is a stable law, and a probability measure is convex when it satisfies the paper's convexity property for measures. In finite dimensions, fix…