2 problems

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Higher-order derivative probability-ratio conjecture in the torus model
Derivative probability-ratio conjecture. There exists a constant $\theta\in(0,d/2)$ such that
Conjectureopenfirst-passage-percolation random-environment-derivatives torus-modelarXiv posted 2 days ago
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Conjecture on the total second-order derivative mass in first-passage percolation
Second-order mass conjecture. There exists a constant $C$ independent of $N$ such that
Conjectureopenfirst-passage-percolation random-environment-derivatives torus-modelarXiv posted 2 days ago

Higher-order derivative probability-ratio conjecture in the torus model