3 problems

Consider the fixed-population branching-selection particle system in which each generation particles independently produce exactly $k$ children, after which only the $N$ rightmost…

Consider a noisy FKPP front with population scale $N$, whose fluctuations arise from demographic noise at the leading edge. Brunet–Derrida fluctuation-time conjecture. The fluctuat…

Let $\rho_1=1+\frac{\pi^2}{4}$, and let $(\overline N_t)_{t\geq 0}$ denote the rescaled particle-number process. Pulled-regime CSBP conjecture. If $\rho<\rho_1$, under suitable ass…