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Evolution of Discordance

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arxiv 2410.17808 v2 pith:GD5DO6F3 submitted 2024-10-23 math.PR

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keywords randomareaaugustauthorbochumbriefcongresscontent
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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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  1. Voter model on heterogeneous directed networks

    math.PR 2025-06 conditional novelty 5.0 of 10

    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.

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