Subdiffusive fluctuations for internal diffusion limited aggregation
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Publication:1897174
DOI10.1214/aop/1176988377zbMath0835.60086OpenAlexW2082727051MaRDI QIDQ1897174
Publication date: 26 March 1996
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176988377
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24)
Related Items (23)
Internal DLA and the Stefan problem. ⋮ Laplacian growth and sandpiles on the Sierpiński gasket: limit shape universality and exact solutions ⋮ On the support of harmonic measure for the random walk ⋮ Internal diffusion limited aggregation on discrete groups having exponential growth ⋮ From logarithmic to subdiffusive polynomial fluctuations for internal DLA and related growth models ⋮ Sublogarithmic fluctuations for internal DLA ⋮ Internal diffusion-limited aggregation with uniform starting points ⋮ Perfect boundaries in rotor-router aggregation on cylinders ⋮ Scaling limits of fluctuations of extended-source internal DLA ⋮ The bi-dimensional directed IDLA forest ⋮ Laplacian growth, sandpiles, and scaling limits ⋮ Lower bounds on fluctuations for internal DLA ⋮ Deterministic Random Walks on the Two-Dimensional Grid ⋮ Limiting shapes for deterministic centrally seeded growth models ⋮ The limiting shape for drifted internal diffusion limited aggregation is a true heat ball ⋮ Diamond aggregation ⋮ Diffusion in an annihilating environment ⋮ From fractals in external DLA to internal DLA on fractals ⋮ Goldbug variations ⋮ Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile ⋮ Logarithmic fluctuations for internal DLA ⋮ Discrete balayage and boundary sandpile ⋮ Deterministic random walks on finite graphs
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