3 problems

PCLI3 threshold and marginal PCL identities. The functions $F$ and $G$ admit càdlàg locally bounded-variation extensions to $\mathbb R$, with $G$ nonincreasing and nonconstant. For…

PCLI2 completion conjecture. The function $m_{\rm reg}$ admits a finite-valued, nondecreasing, continuous extension $m\colon[0,\infty)\to\mathbb R$, with $m(x)\to\infty$ as…

PCLI1 completion conjecture. For every $x\in[0,\infty)$ and $z\ne x$, the limit exists and satisfies $\bar N(x,z)>0$. Consequently, the Abelian limit in the prefix-surplus formula…