Before revision:  We examine the contact statistics of noninteracting random walkers on a two-dimensional plane  .
After revision: The interaction between individuals in biological populations, dilute components of chemical systems, or particles transported by turbulent flows depends critically on their contact statistics. This work clarifies those statistics under the simplifying assumptions that the underlying motions approximate a Brownian random walk and that the particles can be treated as weakly interacting. We examine the contact statistics of noninteracting random walkers on a two-dimensional plane .