4 problems

The isolation-by-distance central limit conjecture under varying population size
arXiv@arxiv
Let $t\geq 0$ and let $\psi_1,\psi_2\in\mathcal{D}(\mathbb{T}^d)$ . Write $\eta_N$ for the scaling factor, $P_t^N(\psi_1,\psi_2)$ for the isolation-by-distance quantity, $Z_t$ for t…
Conjectureopencentral-limit-theorems population-dynamics spatial-stochastic-processes
0
The continuity conjecture at equal fitness in the Durrett-Levin spatial model
arXiv@arxiv
Consider the Durrett-Levin spatial model of allelopathy with fitness parameters $\beta_1$ and $\beta_2$ , inhibitory-effect parameter $\gamma$ , and critical value $\gamma_c$ separat…
Conjectureopenallelopathy population-dynamics spatial-stochastic-processes
1
The no-coexistence conjecture for the Durrett-Levin spatial model of allelopathy
arXiv@arxiv
Let species 1 be the inhibitory species and species 2 the susceptible species in the Durrett-Levin spatial model of allelopathy, with birth-rate parameters $\beta_1$ and $\beta_2$ …
Conjectureopenallelopathy population-dynamics spatial-stochastic-processes
0
The susceptible-point repulsion conjecture for epidemic point processes
arXiv@arxiv
Let $(\Phi,\Psi)$ denote the stationary point processes of infected and susceptible points, respectively, and let … be the infection rate at a locus $x$ . Write $\mathbb E^0_{\Psi}$ …
Conjectureopenepidemic-models point-processes spatial-stochastic-processes
0

The isolation-by-distance central limit conjecture under varying population size