Noam Berger

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20002005

most citedA lower bound for the chemical distance in sparse long-range percolation models

22 citations · 30 across the 7 of their papers we have counts for

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math.PR2004★ 22 cited

A lower bound for the chemical distance in sparse long-range percolation models

Noam Berger

We consider long-range percolation in dimension $d \geq 1$ , where distinct sites $x$ and $y$ are connected with probability $p_{x, y} \in [0, 1]$ . Assuming that $p_{x, y}$ is translation…

cond-mat.stat-mech2004

Competition-Induced Preferential Attachment

N. Berger, C. Borgs, J. T. Chayes +2

Models based on preferential attachment have had much success in reproducing the power law degree distributions which seem ubiquitous in both natural and engineered systems. Here,…