Phase transition of the consistent maximal displacement of branching Brownian motion
Phase transition of the consistent maximal displacement of branching Brownian motion
Consider branching Brownian motion in which we begin with one particle at the origin, particles independently move according to Brownian motion, and particles split into two at rate one. It is well-known that the right-most particle at time $t$ will be near $\sqrt{2} t$. Roberts considered the so-called consistent maximal …