摘要
We consider an exactly solvable model of branching random walk with random selection, which describes the evolution of a population with N individuals on the real line. At each time step, every individual reproduces independently, and its offspring are positioned around its current locations. Among all children, N individuals are sampled at random without replacement to form the next generation, such that an individual at position x is chosen with probability proportional to c(beta x). We compute the asymptotic speed and the genealogical behavior of the system.
- 出版日期2017