5 problems

Let $\tt FV(\alpha,\theta)$ be the Fleming–Viot diffusion with parameters $\alpha\in(0,1)$ and $\theta>-\alpha$, and let $\tt PDRM(\alpha,\theta)$ denote its stationary Poisson–Dir…

Let $p$ and $q$ be the right- and left-jump rates, respectively, with $q>p$, and let $\rho^N$ be the equilibrium density of the Fleming–Viot process driven by the nearest-neighbor…

Let $Z=(Z_t,t\geq0)$ be a Markov driving process on $\Lambda\cup\{0\}$, with $0$ absorbing, and let $\tau$ be its absorption time. For $N\geq2$, let…

Let $\mathcal V^\Lambda$ be the tree-valued $\Lambda$-resampling dynamics associated with a finite measure $\Lambda\in\mathcal M_f([0,1])$. Continuous-paths conjecture. The followi…

Light-tail Cannings conjecture. Under a suitable time rescaling, $(\mathcal V^N)_{N\in\mathbb N}$ converges weakly to the tree-valued Fleming–Viot dynamics in the Skorohod topology…