4 problems

Let $W^{(q)}$ be the $q$-scale function of a spectrally negative Lévy process, and let the process have jump measure $Pi$. Doney's conjecture. The smoothness of the scale functions…

Let $G$ be a compactly generated, topologically simple totally disconnected locally compact group, let $x\in G$ satisfy $s(x^{-1})>1$, and let $V_{--}\rtimes\langle x\rangle$ be th…

Scale-function representation conjecture. Every functional of a spectrally negative Markov process should be expressible more directly in terms of the scale function $W$, apart fro…

Coefficient identity conjecture. Based on numerical experiments, for every $j=1,\ldots,m$,