Directed Diffusion-Limited Aggregation

zbMath1362.82039arXiv1411.3667MaRDI QIDQ2974533

Sébastien Martineau

Publication date: 10 April 2017

Full work available at URL: https://arxiv.org/abs/1411.3667

zbMATH Keywords

diffusion limited aggregationballistic deposition

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Time-dependent percolation in statistical mechanics (82C43)

Related Items (4)

Stationary DLA is well defined ⋮ The bi-dimensional directed IDLA forest ⋮ From fractals in external DLA to internal DLA on fractals ⋮ Multi-particle diffusion limited aggregation

Cites Work

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• Another note on the Borel-Cantelli lemma and the strong law, with the Poisson approximation as a by-product
• First-passage percolation on the square lattice
• Strong law of large numbers for the interface in ballistic deposition
• One-dimensional long-range diffusion-limited aggregation. III: The limit aggregate
• Laplacian path models.
• Scaling limits of anisotropic Hastings-Levitov clusters
• Stretch IDLA

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