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Abstract: The nature of dynamics of opinion formation modeled as a decision-by-majorityprocess in complex networks is investigated using eigenmode analysis.Hamiltonian of the system is defined, and estimated by eigenvectors of theadjacency matrix constructed from several network models. The eigenmodes ofinitial and final state of the dynamics are analyzed by numerical studies. Weshow that the magnitude of the largest eigenvector at the initial states arekey determinant for the resulting dynamics.



Author: Makoto Uchida, Susumu Shirayama

Source: https://arxiv.org/







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