Finite-Size Effects for Anisotropic Bootstrap Percolation: Logarithmic Corrections

被引:0
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作者
Aernout C. D. van Enter
Tim Hulshof
机构
[1] Rijksuniversiteit Groningen,Institute for Mathematics and Computing Sciences
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关键词
Bootstrap percolation; Cellular automaton; Finite size effects; Metastability;
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学科分类号
摘要
In this note we analyse an anisotropic, two-dimensional bootstrap percolation model introduced by Gravner and Griffeath. We present upper and lower bounds on the finite-size effects. We discuss the similarities with the semi-oriented model introduced by Duarte.
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页码:1383 / 1389
页数:6
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