2 problems

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Conjecture on the minimax rate for infinitely many particles
Large- $N$ convergence-rate conjecture. The convergence rate should be slower than
Conjectureopeninteraction-kernels inverse-problems nonparametric-regressionarXiv posted 2 days ago
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BCT's conjecture on qualitative phase behavior for interaction kernels
BCT's conjecture. These qualitative facts should hold for a larger class of interaction kernels.
Conjectureopeninteraction-kernels phase-transitions swarmingarXiv posted 2 days ago

Conjecture on the minimax rate for infinitely many particles