Fluctuations of the occupation density for a parking process

Cristian F. Coletti, Sandro Gallo, Alejandro Roldán-Correa +1

Consider the following simple parking process on ${\Lambda }_n:=\{-n,\dots ,n{\}}^d,d\ge 1$: at each step, a site $i$ is chosen at random in ${\Lambda }_n$ and if $i$ and all its nearest neighbor s…