From coalescing random walks on a torus to Kingman's coalescent

J. Beltrán, E. Chavez, C. Landim

Let ${\mathbb{T}}_N^d$, $d\ge 2$, be the discrete $d$-dimensional torus with $N^d$ points. Place a particle at each site of ${\mathbb{T}}_N^d$ and let them evolve as independent, neare…