3 problems

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Bolthausen–Sznitman genealogy conjecture for the stochastic Fisher–KPP equation
Consider the stochastic Fisher–KPP equation and the genealogies of sampled individuals. Bolthausen–Sznitman genealogy conjecture. After suitable scaling, these genealogies are conj…
Conjectureopencoalescent-theory stochastic-frontsarXiv posted 2 days ago
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Birzu et al.'s coalescent conjecture for semi-pushed and fully pushed waves
Consider stochastic wavefronts with population-size parameter $N$ . In the semi-pushed regime, genealogies are expected to exhibit multiple mergers on suitable time scales; in the f…
Conjectureopencoalescent-theory stochastic-frontsarXiv posted 2 days ago
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Conjecture on the relevant time scale for semi-pushed stochastic fronts
Let $\alpha$ denote the parameter governing the wave regime and let $N$ be the population-size parameter. Relevant time-scale conjecture. For $\alpha \in [3/2,1)$ , the relevant tim…
Conjectureopenbranching-processes stochastic-frontsarXiv posted 2 days ago

Bolthausen–Sznitman genealogy conjecture for the stochastic Fisher–KPP equation