most citedContinuum percolation with steps in an annulus

18 citations · 18 across the 4 of their papers we have counts for

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math.PR2007

A critical constant for the k nearest neighbour model

Paul Balister, Bela Bollobas, Amites Sarkar +1

Let P be a Poisson process of intensity one in a square S_n of area n. For a fixed integer k, join every point of P to its k nearest neighbours, creating an undirected random geome…

math.PR2005★ 18 cited

Continuum percolation with steps in an annulus

Paul Balister, Bela Bollobas, Mark Walters

Let A be the annulus in R^2 centered at the origin with inner and outer radii r(1-ε) and r, respectively. Place points {x_i} in R^2 according to a Poisson process with intensity 1…