Scaling limits for internal aggregation models with multiple sources
نویسندگان
چکیده
منابع مشابه
Scaling Limits for Internal Aggregation Models with Multiple Sources
We study the scaling limits of three different aggregation models on Z: internal DLA, in which particles perform random walks until reaching an unoccupied site; the rotor-router model, in which particles perform deterministic analogues of random walks; and the divisible sandpile, in which each site distributes its excess mass equally among its neighbors. As the lattice spacing tends to zero, al...
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Start with n particles at each of k points in the d-dimensional lattice, and let each particle perform simple random walk until it reaches an unoccupied site. The law of the resulting random set of occupied sites does not depend on the order in which the walks are performed, as shown by Diaconis and Fulton. We prove that if the distances between the starting points are scaled by n, then the set...
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ژورنال
عنوان ژورنال: Journal d'Analyse Mathématique
سال: 2010
ISSN: 0021-7670,1565-8538
DOI: 10.1007/s11854-010-0015-2