Sharp metastability threshold for an anisotropic bootstrap percolation model

Details Sharp metastability threshold for an anisotropic bootstrap percolation model Sharp metastability threshold for an anisotropic bootstrap percolation model

2010-10-22

arxiv.org/abs/1010.4691v1

Mathematics

Probability

24 pages, 2 figures

Scientific paper

Bootstrap percolation models have been extensively studied during the two
past decades. In this article, we study an anisotropic bootstrap percolation
model. We prove that it exhibits a sharp metastability threshold. This is the
first mathematical proof of a sharp threshold for an anisotropic bootstrap
percolation model.

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