3 problems

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Monasson–Zecchina's annealed approximation conjecture for random $k$ -SAT
Let $P(\alpha)$ be the overlap distribution of a random pair of satisfying assignments of a random $k$ -SAT formula, and let $P_{\rm ann}(\alpha)$ denote its annealed approximation,…
Conjectureopenoverlap-distributions random-k-sat statistical-physicsarXiv posted 2 days ago
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Conjecture that the Boltzmann state is x-representable
Boltzmann-state $x$ -representability conjecture. The Boltzmann state of mean field spin glass models is $x$ -representable.
Conjectureopenmean-field-models overlap-distributions spin-glassesarXiv posted 2 days ago
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Crisanti–Sommers conjecture on the limiting overlap distribution
Crisanti–Sommers overlap conjecture. The overlap distribution converges to the minimizing measure: for every measurable set $A\subseteq[0,1]$ ,
Conjecturesolvedoverlap-distributions spherical-models spin-glassesarXiv posted 2 days ago

Monasson–Zecchina's annealed approximation conjecture for random kkk-SAT