4 problems

Let $\mu,\mu_n\in {\rm \bf P}(\mathbb{R})$, where $n\in\mathbb{N}$, and let $\{k_n\}_{n\geq1}$ be a sequence of strictly increasing natural numbers. Monotone Khintchine conjecture.…

Let ${\rm \bf ID}(\rhd)$ denote the class of monotonically infinitely divisible probability measures on $\mathbb{R}$, and equip the space of probability measures with the weak topo…

Infinite divisibility conjecture. The distribution of

Let $c>1$, and let $U_c$ be the Choquet simplex of probability distributions solving the size-bias scaling relation associated with $c$. Write $c=\exp(\sigma^2/2)$, and let $Z$ be…