Rigorous results on the threshold network model

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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.
21 pages, Journal of Physics A, in press

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Probability, Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/97428

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505681
 http://arxiv.org/abs/math/0505681
 J. Phys. A, 38, 6277-6291 (2005)
 doi:10.1088/0305-4470/38/28/002

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