Asymptotics of the odometer function for the internal Diffusion Limited Aggregation model

Abstract

We present precise asymptotics of the odometer function for the internal Diffusion Limited Aggregation model. These results provide a better understanding of this function whose importance was demonstrated by Levine and Peres. We derive a different proof of a time-scale result by Lawler, Bramson and Griffeath.

References in corpus (2)

• Strong Spherical Asymptotics for Rotor-Router Aggregation and the Divisible Sandpile
• Scaling Limits for Internal Aggregation Models with Multiple Sources