4 problems

Embrechts–Goldie convolution-root closure conjecture. The class $\mathcal{L}(\gamma)$ is closed under convolution roots for every $\gamma\geq 0$, and the class…

Utility-functional tail conjecture. Assume that $\bar F\in\mathcal{S}$ and $f(x)=x^k$. Then

Workload-area conjecture. If $\bar F\in\mathcal{S}$, then

Queue-area tail conjecture. If $F\in\mathcal{S}$, then