2 problems

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Finite critical droplet conjecture for two-dimensional Ising spin glasses
Consider the Hamiltonian at dimension $d=2$ , with finite-volume ground states $\sigma(J+t\varepsilon)$ and $\sigma(J+t\varepsilon')$ and overlap $Q_\Lambda$ as in the paper. For an…
Conjectureopendisorder-chaos ising-spin-glasses probabilityarXiv posted 2 days ago
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The disorder chaos conjecture for the Sherrington–Kirkpatrick model
Disorder chaos conjecture. If $0<t<1$ , then the overlap under $G_N'$ takes essentially only one value.
Conjecturesolveddisorder-chaos sherrington-kirkpatrick-model spin-glassesarXiv posted 2 days ago

Finite critical droplet conjecture for two-dimensional Ising spin glasses