Scaling limits for internal aggregation models with multiple sources

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 model, in which particles perform deterministic analogues of random walks; and the divisible sandpile, in which each si...

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Veröffentlicht in:	Journal d'analyse mathématique (Jerusalem) 2010-05, Vol.111 (1), p.151-219
Hauptverfasser:	Levine, Lionel, Peres, Yuval
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Analysis Dynamical Systems and Ergodic Theory Functional Analysis Mathematics Mathematics and Statistics Partial Differential Equations
Online-Zugang:	Volltext
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