IJCsatellite IJCsatellite/math

Mathematics, abstract
math.PR/0505681 http://arxiv.org/abs/math.PR/0505681

From: Naoki Masuda Dr. [view email]
Date: Tue, 31 May 2005 13:29:10 GMT   (25kb)

Rigorous results on the threshold network model

Authors: Norio Konno, Naoki Masuda, Rahul Roy, Anish Sarkar
Comments: 21 pages, Journal of Physics A, in press
Subj-class: Probability; Disordered Systems and Neural Networks
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 convergence theorems and central limit theorems on the vertex degree, degree correlation, and the number of prescribed subgraphs. We also generalize some results in the spatially extended cases.

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