3 problems

Let $\sigma^1$ and $\sigma^2$ follow general transition rates as in Hahn (2023), rather than the transition rates specified for the models considered in the paper. In this setting,…

Let $p(x)$ be the single-run distribution of the displacement $x$. Tail criterion for condensation. A condensation transition will occur if $p(x)$ decays faster than $1/|x|^3$ for…

Let $x_{\max}(t)$ denote the maximum position attained by the branching run-and-tumble particle process up to time $t$, and let $t_{\max}$ be the time at which this maximum is reac…