Branching random walk with selection at critical rate

We consider a branching-selection particle system on the real line. In this model the total size of the population at time $n$ is limited by $\exp\left(a n^{1/3}\right)$. At each step $n$, every individual dies while reproducing independently, making children around their current position according to i.i.d. point processes. Only the $\exp\left(a(n+1)^{1/3}\right)$ rightmost children survive to form the $(n+1)^\mathrm{th}$ generation. This process can be seen as a generalisation of the branching random walk with selection of the $N$ rightmost individuals, introduced by Brunet and Derrida. We obtain the asymptotic behaviour of position of the extremal particles alive at time $n$ by coupling this process with a branching random walk with a killing boundary.Comment: Updated versio

Building Financially Secure Futures: An Approach for Boys and Men of Color

This research brief examines the economic and financial challenges facing boys and men of color and lifts up asset-building strategies that can be integrated with targeted services for this group. It also highlights successful practices that are already addressing financial challenges at a community level and draws from these practices to inform policy recommendations