随机阈值生长动力学

Random Struct. Algorithms Pub Date : 1999-08-01 DOI:10.1002/(SICI)1098-2418(199908)15:1%3C93::AID-RSA4%3E3.0.CO;2-K

T. Bohman, Janko Gravner

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引用次数: 11

摘要

一旦z2中的一个站点在其邻近区域中看到至少一个阈值数量的已被占用的站点，它就会以一定的概率被占用。这种随机生长集具有以下规律性:在每个被占用点的固定距离内(不随时间增加)存在一个大的满占用集。这个性质有助于证明收敛到一个渐近形状。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Random threshold growth dynamics

A site in Z 2 becomes occupied with a certain probability as soon as it sees at least a threshold number of already occupied sites in its neighborhood. Such randomly growing sets have the following regularity property: a large fully occupied set exists within a xed distance (which does not increase with time) of every occupied point. This property suuces to prove convergence to an asymptotic shape.

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Random Struct. Algorithms

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