  The meteor process is a model for mass redistribution on a graph. The case of
finite graphs was analyzed in \cite{BBPS}. This paper is devoted to the meteor
process on ${\mathbb Z}^d$. The process is constructed and a stationary
distribution is found. Convergence to this stationary distribution is proved
for a large family of initial distributions. The first two moments of the mass
distribution at a vertex are computed for the stationary distribution. For the
one-dimensional lattice ${\mathbb Z}$, the net flow of mass between adjacent
vertices is shown to have bounded variance as time goes to infinity. An
alternative representation of the process on ${\mathbb Z}$ as a collection of
non-crossing paths is presented. The distributions of a "tracer particle" in
this system of non-crossing paths are shown to be tight as time goes to
infinity.
