Internal diffusion limited aggregation
From MaRDI portal
Publication:1203669
DOI10.1214/aop/1176989542zbMath0762.60096OpenAlexW2024766920MaRDI QIDQ1203669
David Griffeath, Gregory F. Lawler, Maury Bramson
Publication date: 22 February 1993
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176989542
Related Items (62)
Asymptotic survival probabilities in the random saturation process. ⋮ Internal DLA and the Stefan problem. ⋮ Formation of an interface by competitive erosion ⋮ Laplacian growth and sandpiles on the Sierpiński gasket: limit shape universality and exact solutions ⋮ Asymptotic behavior of a stochastic combustion growth process ⋮ Internal diffusion limited aggregation on discrete groups having exponential growth ⋮ Competitive erosion is conformally invariant ⋮ 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 ⋮ Deterministic Random Walks for Rapidly Mixing Chains ⋮ Perfect boundaries in rotor-router aggregation on cylinders ⋮ Continuous-time digital search tree and a border aggregation model ⋮ 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 ⋮ Balanced excited random walk in two dimensions ⋮ Scaling limits for internal aggregation models with multiple sources ⋮ The Arcsine law as the limit of the internal DLA cluster generated by Sinai's walk ⋮ Annealed upper tails for the energy of a charged polymer ⋮ Models of random subtrees of a graph ⋮ Detection of an anomalous cluster in a network ⋮ Universality conjectures for activated random walk ⋮ Internal DLA on cylinder graphs: fluctuations and mixing ⋮ Activated Random Walks on \(\mathbb{Z}^d\) ⋮ Analysis of a drop-push model for percolation and coagulation ⋮ Laplacian growth, sandpiles, and scaling limits ⋮ Internal DLA and the Gaussian free field ⋮ Existence of random gradient states ⋮ Lower bounds on fluctuations for internal DLA ⋮ A sandpile model for proportionate growth ⋮ Uniqueness of gradient Gibbs measures with disorder ⋮ Scaling Limit for a Long-Range Divisible Sandpile ⋮ Deterministic Random Walks on the Two-Dimensional Grid ⋮ A problem in one-dimensional diffusion-limited aggregation (DLA) and positive recurrence of Markov chains ⋮ Fluctuation results for Hastings-Levitov planar growth ⋮ Threshold Growth Dynamics ⋮ Limiting shapes for deterministic centrally seeded growth models ⋮ The limiting shape for drifted internal diffusion limited aggregation is a true heat ball ⋮ Modeling snow crystal growth. II: A mesoscopic lattice map with plausible dynamics ⋮ 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 ⋮ Fast Simulation of Large-Scale Growth Models ⋮ How far do activated random walkers spread from a single source? ⋮ Cellular automaton growth on \(\mathbb{Z}^2\): Theorems, examples, and problems ⋮ How long does it take for internal DLA to forget its initial profile? ⋮ On random walk on growing graphs ⋮ Random growth models: Shape and convergence rate ⋮ Logarithmic fluctuations for internal DLA ⋮ Diffusion-limited annihilating systems and the increasing convex order ⋮ Discrete balayage and boundary sandpile ⋮ New insights on concentration inequalities for self-normalized martingales ⋮ Discrete analog computing with rotor-routers ⋮ The rotor-router shape is spherical ⋮ Optimization and growth in first-passage resetting ⋮ Asymptotic behavior of a stochastic growth process associated with a system of interacting branching random walks ⋮ Directed Diffusion-Limited Aggregation ⋮ Deterministic random walks on finite graphs
This page was built for publication: Internal diffusion limited aggregation