3 problems

Fix an integer $k\geq2$. In the discrete stick-fragmentation process, break each stick into $k$ pieces by choosing $k-1$ cut points recursively according to the uniform distributio…

Fix an even modulus $n\geq2$, a subset $S\subset\{0,\dots,n-1\}$ of residue classes, and the associated discrete stick-fragmentation process with stopping set determined by $S$. Le…

Let $\mathfrak{S}\subseteq\mathbb{Z}_+$ be a stopping set such that the natural density exists, and write … Assume that $r>0$. Density-half conjecture. The set of dead stick length…