4 problems

Let $\mathfrak{B}_0\supset \mathfrak{B}_1\supset\cdots$ be an $m$-dimensional linear-fragmentation process, and for $1\leq d\leq m$ let $\mathfrak{m}_d^{(N)}$ denote the maximum pr…

A linear-fragmentation process is a continuous process with finite mean, variance, and third moment. Maximum-criterion conjecture. Every linear-fragmentation process satisfies the…

Let a $\Psi$-process be a process satisfying the assumptions of Theorem cited in the source, and let its points at time $t$ have an empirical distribution on $[0,1]$. Uniform empir…

Extinction-time scaling conjecture. Theorem should remain true for generic non-geometric self-similar fragmentations with negative index: after rescaling by the appropriate power o…