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math.PR2013★ 3 cited
Subcritical -bootstrap percolation models have non-trivial phase transitions
Paul Balister, Béla Bollobás, Michał Przykucki +1
We prove that there exist natural generalizations of the classical bootstrap percolation model on that have non-trivial critical probabilities, and moreover we chara…
math.PR2013★ 1 cited
Bootstrap percolation on Galton-Watson trees
Béla Bollobás, Karen Gunderson, Cecilia Holmgren +2
Bootstrap percolation is a type of cellular automaton which has been used to model various physical phenomena, such as ferromagnetism. For each natural number , the -neighbou…