Sublogarithmic fluctuations for internal DLA
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Publication:373572
DOI10.1214/11-AOP735zbMath1274.60286arXiv1011.4592OpenAlexW2065053144MaRDI QIDQ373572
Alexandre Gaudillière, Amine Asselah
Publication date: 17 October 2013
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.4592
random walkcluster growthshape theoreminternal diffusion limited aggregationlogarithmic fluctuations
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Probabilistic potential theory (60J45) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24)
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Laplacian growth and sandpiles on the Sierpiński gasket: limit shape universality and exact solutions ⋮ Border aggregation model ⋮ From logarithmic to subdiffusive polynomial fluctuations for internal DLA and related growth models ⋮ Internal diffusion-limited aggregation with uniform starting points ⋮ Perfect boundaries in rotor-router aggregation on cylinders ⋮ Formation of large-scale random structure by competitive erosion ⋮ Scaling limits of fluctuations of extended-source internal DLA ⋮ Growing in time IDLA cluster is recurrent ⋮ The bi-dimensional directed IDLA forest ⋮ Internal DLA on cylinder graphs: fluctuations and mixing ⋮ Laplacian growth, sandpiles, and scaling limits ⋮ Internal DLA and the Gaussian free field ⋮ Lower bounds on fluctuations for internal DLA ⋮ The limiting shape for drifted internal diffusion limited aggregation is a true heat ball ⋮ From fractals in external DLA to internal DLA on fractals ⋮ Fast Simulation of Large-Scale Growth Models ⋮ How long does it take for internal DLA to forget its initial profile?
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