Spherical asymptotics for the rotor-router model in $\mathbb{Z}^d$
Spherical asymptotics for the rotor-router model in $\mathbb{Z}^d$
The rotor-router model is a deterministic analogue of random walk invented by Jim Propp.It can be used to define a deterministic aggregation model analogous to internal diffusion limited aggregation.We prove an isoperimetric inequality for the exit time of simple random walk from a finite region in Z d , and …