2 problems

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Poisson–Dirichlet correlation conjecture for random wire models
Poisson–Dirichlet correlation conjecture. One has
Conjecturesolvedloop-soups poisson-dirichlet random-wiresarXiv posted 2 days ago
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Macroscopic-loop merge-rate conjecture in random wire models
Macroscopic-loop merge-rate conjecture. The number of endpoint pairs that allow two macroscopic loops $\gamma$ and $\gamma'$ to merge is approximately
Conjecturesolvedloop-soups poisson-dirichlet random-wiresarXiv posted 2 days ago

Poisson–Dirichlet correlation conjecture for random wire models