Waiting times for random walks on regular and fractal lattices

We use the exact renormalization procedure, introduced by Machta [Phys. Rev. B 24, 5260 (1981)], to evaluate the waiting time density for a walker to jump to one of its nearest neighbors on a decimated lattice, in terms of the original waiting time densities on the nondecimated lattice. We explicitly identify all the fixed points and their corresponding domain of attraction for the one-dimensional case and for the Sierpinsky gasket.