149 citations · 841 across the 44 of their papers we have counts for
Showing 2007 · math.PRShow all
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math.PR2007★ 7 cited
Limit Theorems for Internal Aggregation Models
Lionel Levine
We study the scaling limits of three different aggregation models on the integer lattice Z^d: internal DLA, in which particles perform random walks until reaching an unoccupied sit…
math.PR2007★ 86 cited
Scaling Limits for Internal Aggregation Models with Multiple Sources
Lionel Levine, Yuval Peres
We study the scaling limits of three different aggregation models on Z^d: internal DLA, in which particles perform random walks until reaching an unoccupied site; the rotor-router…
math.PR2007★ 118 cited
Strong Spherical Asymptotics for Rotor-Router Aggregation and the Divisible Sandpile
Lionel Levine, Yuval Peres
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 sha…