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Showing 2013 · math.PRShow all
3 papers · 2 filters
math.PR2013★ 1 cited
Connectedness of Poisson cylinders in Euclidean space
Erik I. Broman, Johan Tykesson
We consider the Poisson cylinder model in , . We show that given any two cylinders and in the process, there is a sequenc…
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…