4 problems
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Almost-sure vanishing of the partition function in the interior of the delocalized region
Interior delocalization conjecture. If , then
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Delocalization for the copolymer at coupling 0.6 above height 0.45
Numerical delocalization conjecture. The points
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Equality of the critical curves for copolymers at selective interfaces
Equality of the critical curves. The conjectures are
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Higher-dimensional extension of the one-dimensional copolymer-homopolymer energy lower bound
Higher-dimensional lower-bound conjecture. The same lower bound should hold in , without making any a priori assumption on the morphology: