2 problems

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Conjecture on heavy-tailed infinite-time clusters
Heavy-tailed cluster conjecture. If $\phi$ is heavy-tailed, then mass labels from the same $L(m)$ belong to the same infinite-time cluster.
Conjectureopenalignment-dynamics cluster-formationarXiv posted 2 days ago
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Conjecture that distinct mass-label sets do not share a cluster
Mass-label separation conjecture. Mass labels from distinct $L(m)$ 's never belong to the same cluster.
Conjectureopenalignment-dynamics cluster-formationarXiv posted 2 days ago

Conjecture on heavy-tailed infinite-time clusters