Multiscaling in the sequence of areas enclosed by coalescing random walkers

Abstract

We address the question of whether the sequence of areas between coalescing random walkers displays multiscaling and in the process calculate the second moment as well as the two point correlation function exactly. The scaling of higher order correlation functions is estimated numerically, indicating a logarithmic dependence on the system size. Together with the analytical results, this confirms the presence of multiscaling. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.