3 problems

Let $L$ be the width parameter of the $L$-branching Brownian motion and let $N$ be the population size of the $N$-branching Brownian motion. Brunet–Derrida–Mueller–Munier's corresp…

Let $v_N$ be the asymptotic velocity of the $N$-branching Brownian motion ($N$-BBM), in which particles move as Brownian motions, branch after exponential lifetimes, and the lowest…

Let $L>0$ and consider the $L$-branching Brownian motion ($L$-BBM), in which particles are killed when they are more than distance $L$ behind the rightmost particle. Let $c$ denote…