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- Elizabeth R. Moseman, Peter Winkler
- Combinatorics, Probability & Computing
- 2008

Let a i , b i , i = 0, 1, 2,. .. be drawn uniformly and independently from the unit interval, and let t be a fixed real number. Let a site (i, j) ∈ N 2 be open if a i + b j ≤ t, and closed otherwise. We obtain a simple, exact expression for the probability Θ(t) that there is an infinite path (oriented or not) of open sites, containing the origin. Θ(t) is… (More)

- Elizabeth Moseman, Peter Winkler, Peter Doyle, Dan Rockmore, Mike Albertson, Charles K. Barlowe
- 2007

In coordinate percolation on an positive orthant of the n-dimensional lattice Z n with a given threshold value, 1 + t, random variables a i (k) are uniform on [0, 1] to each pair of integers (i, k) with 1 ≤ i ≤ n and k ≥ 0. A point v = (v 1 ,. .. , v n) is open if a 1 (v 1) + a 2 (v 2) + · · · + a n (v n) < 1 + t and closed otherwise. What is the… (More)

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