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The stochastic model representing the semantic space.

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posted on 20.02.2013 by Adolfo Paolo Masucci, Alkiviadis Kalampokis, Victor Martínez Eguíluz, Emilio Hernández-García

Results for the simulation of the stochastic model representing the semantic space. This is a simulation of a toy-model for an encyclopedia of pages with size log-normally distributed, with first moment and second moment . The parameter of the model are , and . In the top panels the out-degree distribution (left panel) and the in-degree distribution (right panel) of the semantic network at the percolation threshold are shown. The corresponding cumulative distributions are displayed in the insets. In the bottom left panel we show the cluster size distribution at the percolation threshold, the relative cumulative distribution is displayed in the inset. In the right bottom panel we show the frequency-rank distribution for the words in the model.

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