All-temperature pressure of orthogonally invariant Ising spin glasses

Formal proof listed 1 paper September 25, 2026
What the paper claims, in its own words

Gives an exact variational formula for the limiting pressure of orthogonally invariant Ising spin glasses at every fixed temperature, both almost surely and in expectation. The coupling matrix is a Haar-random rotation of a deterministic spectrum converging to a compactly supported law, with extreme eigenvalues converging to its support edges. The zero-field ground-state energy follows as temperature tends to zero.

The plain-language explainer for this entry is still coming.

The original paper