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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…
math.PR2013
First critical probability for a problem on random orientations in
Sven Erick Alm, Svante Janson, Svante Linusson
We study the random graph with a random orientation. For three fixed vertices in we study the correlation of the events and . We prove t…