Bootstrap Percolation on the Hamming Torus

Details Bootstrap Percolation on the Hamming Torus Bootstrap Percolation on the Hamming Torus

2012-02-24

arxiv.org/abs/1202.5351v1

Mathematics

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Scientific paper

We consider bootstrap percolation on the Hamming torus and calculate the
threshold functions for subgraphs of different dimensions to become open. We
show that the threshold function for 1-dimensional subgraphs is distinct from
higher dimensional subgraphs, while the threshold functions for $i$ dimensional
subgraphs, $i \geq 2$, are very closely bunched

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