2 problems

Let $\kappa$ satisfy condition … be the fixed-point equation for the corresponding branching-process generating function. Necessary-and-sufficient condition for subcriticality. One…

Let $c>1$ and $-c\leq\delta\leq c$ be constants, and let $obreak\kappa_{c+ obreak\delta,c- obreak\delta}$ be the two-type kernel defined in the source. Square-root threshold conje…