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A Gaussian particle distribution for branching Brownian motion with an inhomogeneous branching rate

A Gaussian particle distribution for branching Brownian motion with an inhomogeneous branching rate

Motivated by the goal of understanding the evolution of populations undergoing selection, we consider branching Brownian motion in which particles independently move according to one-dimensional Brownian motion with drift, each particle may either split into two or die, and the difference between the birth and death rates is a linear …