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Random threshold growth dynamics

โœ Scribed by Tom Bohman; Janko Gravner

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
259 KB
Volume
15
Category
Article
ISSN
1042-9832

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โœฆ Synopsis

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 fixed distance (which does not increase with time) of every occupied point. This property suffices to prove convergence to an asymptotic shape.

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