The time of bootstrap percolation with dense initial sets
نویسندگان
چکیده
منابع مشابه
The time of bootstrap percolation with dense initial sets for all thresholds
In r-neighbor bootstrap percolation on the vertex set of a graph G, vertices are initially infected independently with some probability p. At each time step, the infected set expands by infecting all uninfected vertices that have at least r infected neighbors. We study the distribution of the time at which all vertices become infected. Given d ≥ r ≥ 2 and t = t(n) = o ( (log n/ log logn)1/(d−r+...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2014
ISSN: 0091-1798
DOI: 10.1214/12-aop818