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Strong Spherical Asymptotics for Rotor-Router Aggregation and the Divisible Sandpile
Strong Spherical Asymptotics Rotor-Router Aggregation Divisible Sandpile
2015/8/14
The rotor-router model is a deterministic analogue of random walk.It can be used to define a deterministic growth model analogous to internal DLA. We prove that the asymptotic shape of this model is a...
ROTOR-ROUTER AGGREGATION ON THE LAYERED SQUARE LATTICE
ROTOR-ROUTER AGGREGATION LAYERED SQUARE LATTICE
2015/8/14
In rotor-router aggregation on the square lattice Z2, particles starting at the origin perform deterministic analogues of random walks until reaching an unoccupied site. The limiting shape of the clus...