3 problems
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The 2R-conjecture for cluster spacing in bounded-confidence opinion dynamics
Let the H-K particle model be a bounded-confidence opinion dynamics model with confidence radius , and consider its final clusters. 2R-conjecture. The final clusters typically f…
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Conjecture on heavy-tailed infinite-time clusters
Heavy-tailed cluster conjecture. If is heavy-tailed, then mass labels from the same belong to the same infinite-time cluster.
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Conjecture that distinct mass-label sets do not share a cluster
Mass-label separation conjecture. Mass labels from distinct 's never belong to the same cluster.