149 citations · 841 across the 44 of their papers we have counts for
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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…
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…
The Rotor-Router Model on Regular Trees
Itamar Landau, Lionel Levine
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 show that the set of occupied…
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…
The Sandpile Group of a Tree
Lionel Levine
A wired tree is a graph obtained from a tree by collapsing the leaves to a single vertex. We describe a pair of short exact sequences relating the sandpile group of a wired tree to…