5 problems

Stability and convergence conjecture. (A) If

Let $N$ be the population size and consider a suitably adjusted version of the diploid Moran model described in the source, with overlapping generations and no selfing. Let the mod…

Let $n>2$ be fixed, and sample $n$ genes at time-step $0$. Let $(\Pi_k^{N,n})_{k\in\mathbb{Z}_+}$ be the ancestral process taking values in the space $\mathcal{E}_n$ of partitions…

Persistence threshold conjecture. Persistence of the system is possible if and only if the number of environments is at least the number of species.

Exponential convergence-rate conjecture. For every initial population state $x$ with $x^{i_0}\neq 0$ and every $s\in E$,