Lower bounds on fluctuations for internal DLA

DOI10.1007/s00440-012-0476-6zbMath1294.60115arXiv1111.4233OpenAlexW2033961750MaRDI QIDQ2447280

Amine Asselah, Alexandre Gaudillière

Publication date: 25 April 2014

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4233

zbMATH Keywords

random walkcluster growthshape theoreminternal diffusion limited aggregationlogarithmic fluctuations

Mathematics Subject Classification ID

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)

Related Items (10)

Formation of an interface by competitive erosion ⋮ Border aggregation model ⋮ Competitive erosion is conformally invariant ⋮ Formation of large-scale random structure by competitive erosion ⋮ Scaling limits of fluctuations of extended-source internal DLA ⋮ The bi-dimensional directed IDLA forest ⋮ Laplacian growth, sandpiles, and scaling limits ⋮ Internal DLA and the Gaussian free field ⋮ From fractals in external DLA to internal DLA on fractals ⋮ How long does it take for internal DLA to forget its initial profile?

Cites Work

• Unnamed Item
• From logarithmic to subdiffusive polynomial fluctuations for internal DLA and related growth models
• Sublogarithmic fluctuations for internal DLA
• Internal DLA in higher dimensions
• Internal diffusion limited aggregation
• Subdiffusive fluctuations for internal diffusion limited aggregation
• Internal DLA and the Gaussian free field
• Logarithmic fluctuations for internal DLA

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