The paper conjectures that the expected consensus time on Pareto-directed configuration models scales as H(u) times a degree-sequence preconstant times n, for every tail exponent alpha>0.
Evolution of Discordance
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The present paper is a brief overview of random opinion dynamics on random graphs based on the Ising Lecture given by the author at the World Congress in Probability and Statistics, 12--16 August 2024, Bochum, Germany. The content is a snapshot of an interesting area of research that is developing rapidly.
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Voter model on heterogeneous directed networks
The paper conjectures that the expected consensus time on Pareto-directed configuration models scales as H(u) times a degree-sequence preconstant times n, for every tail exponent alpha>0.