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One-dimensional long-range diffusion-limited aggregation. I.

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Publication:341498
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DOI10.1214/15-AOP1058zbMath1353.82051arXiv0910.4416MaRDI QIDQ341498

Gideon Amir, Itai Benjamini, Omer Angel, Gady Kozma

Publication date: 16 November 2016

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4416

zbMATH Keywords

Green's functionphase transitionharmonic measurerandom walkdiffusion limited aggregationstable processDLAstable Green's function


Mathematics Subject Classification ID

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) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Probability theory (educational aspects) (97K50) Distributions and stochastic processes (educational aspects) (97K60)


Related Items

One-dimensional long-range diffusion-limited aggregation. III: The limit aggregate, Diffusion limited aggregation on a cylinder, From fractals in external DLA to internal DLA on fractals, Directed Diffusion-Limited Aggregation



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