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math.PR2002
Trees and matchings from point processes
Alexander E. Holroyd, Yuval Peres
A factor graph of a point process is a graph whose vertices are the points of the process, and which is constructed from the process in a deterministic isometry-invariant way. We p…
math.PR2002
Sharp Metastability Threshold for Two-Dimensional Bootstrap Percolation
Alexander E. Holroyd
In the bootstrap percolation model, sites in an by square are initially independently declared active with probability . At each time step, an inactive site becomes acti…