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math.PR2005★ 10 cited
Rigorous results on the threshold network model
Norio Konno, Naoki Masuda, Rahul Roy +1
We analyze the threshold network model in which a pair of vertices with random weights are connected by an edge when the summation of the weights exceeds a threshold. We prove some…
math.PR2003
The structure of finite clusters in high intensity Poisson Boolean stick process
Rahul Roy, Hideki Tanemura
Sticks at one of different orientation are placed in an i.i.d. fashion at points of a Poisson point process of intensity . Sticks of the same direction have the same length, whi…