Internal Diffusion Limited Aggregation
نویسندگان
چکیده
منابع مشابه
Internal Diffusion-Limited Aggregation: Parallel Algorithms and Complexity
The computational complexity of internal diffusion-limited aggregation (DLA) is examined from both a theoretical and a practical point of view. We show that for two or more dimensions, the problem of predicting the cluster from a given set of paths is complete for the complexity class CC, the subset of P characterized by circuits composed of comparator gates. CC-completeness is believed to impl...
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Abstract The stochastic growth model Internal Diffusion Limited Aggregation was defined in 1991 by Diaconis and Fulton. Several shape results are known when the underlying state space is the d-dimensional lattice, or a discrete group with exponential growth. We prove an extension of the shape result of Blachère and Brofferio for Internal Diffusion Limited Aggregation on a wide class of Markov c...
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Colloidal particles that interact through strong, short-range, secondary attractions in liquids form irreversible "slippery" bonds that are not shear-rigid. Through event-driven simulations of slippery attractive spheres, we show that space-filling fractal clusters still emerge from the process of "slippery" diffusion-limited aggregation (DLA). Although slippery and classic DLA clusters have th...
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Much is known about diffusion-limited growth from a dilute suspension. The simplest and most famous model is diffusion-limited aggregation (DLA), in which random walkers are released one-by-one far away and become frozen where they first touch a growing fractal cluster. Real growth phenomena, such as mineral deposition in rocks, however, often involve multiple processes, such as advection-diffu...
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Diffusion limited aggregation (DLA) is a modelling technique for simulating dendritic growth that has seen widespread application in the physical, biological, and social sciences. We introduce an artistic component to the basic technique by adding special effects parameters to a single particle, random walk DLA aggregation scheme. Our goal is to explore the potential of the enhanced scheme as a...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1992
ISSN: 0091-1798
DOI: 10.1214/aop/1176989542