471 citations · 1.1k across the 39 of their papers we have counts for
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math.PR2011★ 23 cited
Clustering and percolation of point processes
Bartlomiej Blaszczyszyn, D. Yogeshwaran
We are interested in phase transitions in certain percolation models on point processes and their dependence on clustering properties of the point processes. We show that point pro…
math.PR2011★ 25 cited
On comparison of clustering properties of point processes
Bartlomiej Blaszczyszyn, D. Yogeshwaran
In this paper, we propose a new comparison tool for spatial homogeneity of point processes, based on the joint examination of void probabilities and factorial moment measures. We p…
math.PR2011★ 4 cited
Clustering, percolation and directionally convex ordering of point processes
B. Blaszczyszyn, D. Yogeshwaran
Heuristics indicate that point processes exhibiting clustering of points have larger critical radius for the percolation of their continuum percolation models than spatially…